AnswersSS-Math 7Graphing Inequalities

Graphing Inequalities Answers

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1
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Which value is included in the solution set for the inequality graphed on the number line?

Question illustration
A
–5
B
–2
C
0
D
3
2
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Which inequality is represented by this graph?

Question illustration
A
0 greater-than x
Option A
B
x greater-than 0
Option B
C
0 greater-than-or-equal-to x
Option C
D
x greater-than-or-equal-to 0
Option D
3

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

A
x greater-than 0.4
Option A
B
x greater-than negative 3
Option B
C
x less-than 4
Option C
D
x greater-than-or-equal-to 3
Option D
4

How do the number line graphs of the solutions sets of and differ?

Question illustration
A
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.
B
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open circles.
C
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.
D
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed circles.
5

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
A number line going from 515 to 521. An open circle is at 518. Everything to the left of the circle is shaded.
Option A
B
A number line going from 515 to 521. A closed circle is at 518. Everything to the left of the circle is shaded.
Option B
C
A number line going from 515 to 521. An open circle is at 518. Everything to the right of the circle is shaded.
Option C
D
A number line going from 515 to 521. A closed circle is at 518. Everything to the right of the circle is shaded.
Option D
6

Which inequality is represented by this graph?

Question illustration
A
x greater-than 3
Option A
B
x greater-than-or-equal-to 3
Option B
C
x greater-than 4
Option C
D
x greater-than-or-equal-to 4
Option D
7

Which inequality is represented by this graph?

Question illustration
A
x greater-than negative 53
Option A
B
x less-than-or-equal-to negative 53
Option B
C
x less-than negative 53
Option C
D
x greater-than-or-equal-to negative 53
Option D
8

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

A
x greater-than three-fifths
Option A
B
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
Option B
C
x less-than-or-equal-to 12
Option C
D
x greater-than-or-equal-to negative 6
Option D
9

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
A number line going from 50 to 58. An open circle is at 53. Everything to the right of the circle is shaded.
Option A
B
A number line going from 50 to 58. An open circle is at 54. Everything to the right of the circle is shaded.
Option B
C
A number line going from 50 to 58. A closed circle is at 54. Everything to the right of the circle is shaded.
Option C
D
A number line going from 50 to 58. A closed circle is at 55. Everything to the right of the circle is shaded.
Option D
10

Vera claimed the solution set on the number line represents the inequality .Which error did Vera make?

Question illustration
A
Vera wrote the inequality with the variable on the left side of the relation symbol.
B
Vera wrote a relation symbol that does not represent the direction of the ray.
C
Vera selected an inequality that does not include –79 in its solution set.
D
Vera used the wrong number in her inequality.

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