AnswersSS-Math 7Graphing Inequalities

Graphing Inequalities Answers

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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
2
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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.
3

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

Question illustration
A
The arrow points to the left, so only the or symbol can be used in the inequality.
Option A
B
The solution set includes –7, so only the or symbol can be used in the inequality.
Option B
C
The circle at –7 is open, so only the or symbol can be used in the inequality.
Option C
D
The circle is on a negative number, so only the or symbols can be used in the inequality.
Option D
4

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
5

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
6

Bryan is asked to write an inequality to represent the graph.He writes .Which error did Bryan make?

Question illustration
A
Bryan must write the inequality with the variable on the left side of the relation symbol.
B
Bryan chose a relation symbol that does not point in the same direction as the ray.
C
Bryan included –14 in his solution set.
D
Bryan used the wrong number in his inequality.
7

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
8

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
9

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
10

Which inequality is represented by this graph?

Question illustration
A
Negative 34.5 greater-than x
Option A
B
Negative 34.5 less-than x
Option B
C
Negative 35.5 greater-than x
Option C
D
Negative 35.5 less-than x
Option D

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