How to find the solution to an equation - ISEE Middle Level Quantitative Reasoning
Card 0 of 2375
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?



Three elements of the set—1, 2, and 3—fit this criterion.
Three elements of the set—1, 2, and 3—fit this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?





None of choices fit this criterion, so the correct answer is none.
None of choices fit this criterion, so the correct answer is none.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?

(Note that the inequality symbol switches here)

Of the elements of
, only
fits this criterion.
(Note that the inequality symbol switches here)
Of the elements of , only
fits this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?



Three elements of the set—1, 2, and 3—fit this criterion.
Three elements of the set—1, 2, and 3—fit this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?





None of choices fit this criterion, so the correct answer is none.
None of choices fit this criterion, so the correct answer is none.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?



Three elements of the set—1, 2, and 3—fit this criterion.
Three elements of the set—1, 2, and 3—fit this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?





None of choices fit this criterion, so the correct answer is none.
None of choices fit this criterion, so the correct answer is none.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?



Three elements of the set—1, 2, and 3—fit this criterion.
Three elements of the set—1, 2, and 3—fit this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?





None of choices fit this criterion, so the correct answer is none.
None of choices fit this criterion, so the correct answer is none.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?



Three elements of the set—1, 2, and 3—fit this criterion.
Three elements of the set—1, 2, and 3—fit this criterion.
Compare your answer with the correct one above
How many elements of the set
can be substituted for
to make the inequality
a true statement?
How many elements of the set can be substituted for
to make the inequality
a true statement?





None of choices fit this criterion, so the correct answer is none.
None of choices fit this criterion, so the correct answer is none.
Compare your answer with the correct one above

Both
and
are prime.
Which is the greater quantity?
(a) 
(b) 50
Both and
are prime.
Which is the greater quantity?
(a)
(b) 50
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select
and
, or vice versa, then
.
If we select
and
, or vice versa, then
.
Therefore, it is unclear whether
or 50 is greater.
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set
There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select and
, or vice versa, then
.
If we select and
, or vice versa, then
.
Therefore, it is unclear whether or 50 is greater.
Compare your answer with the correct one above


Which is the greater quantity?
(a) 
(b) 
Which is the greater quantity?
(a)
(b)
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers -
and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers - and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
Compare your answer with the correct one above

Both
and
are prime.
Which is the greater quantity?
(a) 
(b) 50
Both and
are prime.
Which is the greater quantity?
(a)
(b) 50
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select
and
, or vice versa, then
.
If we select
and
, or vice versa, then
.
Therefore, it is unclear whether
or 50 is greater.
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set
There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select and
, or vice versa, then
.
If we select and
, or vice versa, then
.
Therefore, it is unclear whether or 50 is greater.
Compare your answer with the correct one above


Which is the greater quantity?
(a) 
(b) 
Which is the greater quantity?
(a)
(b)
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers -
and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers - and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
Compare your answer with the correct one above

Both
and
are prime.
Which is the greater quantity?
(a) 
(b) 50
Both and
are prime.
Which is the greater quantity?
(a)
(b) 50
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select
and
, or vice versa, then
.
If we select
and
, or vice versa, then
.
Therefore, it is unclear whether
or 50 is greater.
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set
There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select and
, or vice versa, then
.
If we select and
, or vice versa, then
.
Therefore, it is unclear whether or 50 is greater.
Compare your answer with the correct one above


Which is the greater quantity?
(a) 
(b) 
Which is the greater quantity?
(a)
(b)
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers -
and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers - and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
Compare your answer with the correct one above

Both
and
are prime.
Which is the greater quantity?
(a) 
(b) 50
Both and
are prime.
Which is the greater quantity?
(a)
(b) 50
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select
and
, or vice versa, then
.
If we select
and
, or vice versa, then
.
Therefore, it is unclear whether
or 50 is greater.
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set
There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select and
, or vice versa, then
.
If we select and
, or vice versa, then
.
Therefore, it is unclear whether or 50 is greater.
Compare your answer with the correct one above


Which is the greater quantity?
(a) 
(b) 
Which is the greater quantity?
(a)
(b)
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers -
and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
, so
is the positive or negative square root of 64; those are 8 and
, respectively.
Two numbers - and 8 - have absolute value 8, so if
, either
or
.
and
, but without further information, it cannot be determined which is the greater, if either.
Compare your answer with the correct one above

Both
and
are prime.
Which is the greater quantity?
(a) 
(b) 50
Both and
are prime.
Which is the greater quantity?
(a)
(b) 50
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set

There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select
and
, or vice versa, then
.
If we select
and
, or vice versa, then
.
Therefore, it is unclear whether
or 50 is greater.
, and both are positive integers, so both will be between 1 and 15 inclusive. Since both are prime numbers - numbers with exactly two factors, 1 and the number itself - both are elements of the set
There are two ways to select two of these numbers so that their sum is 16 - 3 and 13, and 5 and 11.
If we select and
, or vice versa, then
.
If we select and
, or vice versa, then
.
Therefore, it is unclear whether or 50 is greater.
Compare your answer with the correct one above