AnswersGrade 7 MathematicsGraphing Inequalities

Graphing Inequalities — Quiz Answers

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1
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Which inequality has an open circle when it is graphed on a number line?

A
4 sevenths is greater than or equal to x
B
x is greater than or equal to negative 6
C
x is greater than 3 fifths
D
x is less than or equal to 12
2
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Which number line shows the graph of x is greater than or equal to 11 ?

A
Image with description A number line ranges from 6 to 14 by ones. An open circle is on 11. A ray is drawn from that circle pointing to the left.
B
Image with description A number line ranges from 6 to 14 by ones. A closed circle is on 11. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from 6 to 14 by ones. A closed circle is on 11. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from 6 to 14 by ones. An open circle is on 11. A ray is drawn from that circle pointing to the right.
3

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement?

A
Image with description A number line ranges from 50 to 58 by ones. A closed circle is on 55. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from 50 to 58 by ones. An open circle is on 54. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from 50 to 58 by ones. A closed circle is on 54. A ray is drawn from that circle pointing to the right.
D
Image with description A number line ranges from 50 to 58 by ones. An open circle is on 53. A ray is drawn from that circle pointing to the right.
4

Which number line shows the graph of negative 2 point 7 5 is less than x ?

A
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. A closed circle is halfway between negative 3 and one tick mark to the right. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. An open circle is halfway between negative 3 and one tick mark to the right. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. A closed circle is halfway between negative 3 and one tick mark to the right. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from negative 3 to 3 by one halves. Only integers are labeled. An open circle is halfway between negative 3 and one tick mark to the right. A ray is drawn from that circle pointing to the left.
5

Which inequality has a closed circle when it is graphed on a number line?

A
x is greater than or equal to 3
B
x is greater than 0 point 4
C
x is greater than negative 3
D
x is less than 4
6

Which inequality is represented by this graph? Expand Image

A
x is greater than or equal to 4
B
x is greater than 4
C
x is greater than 3
D
x is greater than or equal to 3
7

How do the number line graphs of the solutions sets of negative 23 is greater than x and x is greater than or equal to negative 23 differ?

A
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but they use arrows that point in the same direction.
B
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.
C
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.
D
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
8

Which inequality is represented by this graph? Expand Image

A
x is less than or equal to negative 53
B
x is greater than or equal to negative 53
C
x is greater than negative 53
D
x is less than negative 53
9

Liam must determine the inequality represented by the solution set on the number line. Expand Image Which statement must be true?

A
The circle at negative 7 is open, so only the is less than or is greater than symbol can be used in the inequality.
B
The arrow points to the left, so only the < or is less than or equal to symbol can be used in the inequality.
C
The circle is on a negative number, so only the is less than or is less than or equal to symbols can be used in the inequality.
D
The solution set includes negative 7 , so only the is less than or is greater than symbol can be used in the inequality.
10

The school record in the long jump is 518 cm. Which graph represents the set of jump distances, in centimeters, that would set a new school record?

A
Image with description A number line ranges from 515 to 521 by ones. A closed circle is on 518. A ray is drawn from that circle pointing to the left.
B
Image with description A number line ranges from 515 to 521 by ones. An open circle is on 518. A ray is drawn from that circle pointing to the right.
C
Image with description A number line ranges from 515 to 521 by ones. An open circle is on 518. A ray is drawn from that circle pointing to the left.
D
Image with description A number line ranges from 515 to 521 by ones. A closed circle is on 518. A ray is drawn from that circle pointing to the right.

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