AnswersELPGEQ3 MJ Math 6 - 1205010 HCPS v24Graphing Inequalities on a Number Line

Graphing Inequalities on a Number Line Answers

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1
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Which statements describe the solutions to the inequality ? Check all that apply.

Question illustration
A
There are infinite solutions.
B
Each solution is negative.
C
Each solution is positive.
D
The solutions are both positive and negative.
E
The solutions contain only integer values.
F
The solutions contain rational number values.
2
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Which best describes the solutions to the inequality ?

Question illustration
A
10 and every whole number greater than 10
B
a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10
C
11 and every whole number greater than 11
D
a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10
3

Which graph represents the inequality ?

Question illustration
A
A number line going from 1 to 11. A closed circle is at 6. Everything to the left of the line is shaded.
Option A
B
A number line going from 1 to 11. An open circle is at 6. Everything to the left of the line is shaded.
Option B
C
A number line going from 1 to 11. A closed circle is at 6. Everything to the right of the line is shaded.
Option C
D
A number line going from 1 to 11. An open circle is at 6. Everything to the right of the line is shaded.
Option D
4

Which best describes the numbers satisfying the inequality ?

Question illustration
A
all numbers greater than 7
B
all numbers less than 7
C
all numbers greater than and including 7
D
all numbers less than and including 7
5

Jennet graphs the inequality on the number line below. Which best describes the accuracy of Jennet’s graph?

Question illustration
A
The graph is incorrect. The number line represents numbers greater than –6 and the “less than” symbol is used in the inequality.
B
The graph is incorrect. There should be a closed circle at –6.
C
The graph is incorrect. The number line represents numbers less than –6 and the “greater than” symbol is used in the inequality.
D
The graph is correct.
6

The students at the engineering conference ate more than 20 pizzas. The inequality represents the situation. Which graph represents the inequality?

Question illustration
A
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
Option A
B
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
Option B
C
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
Option C
D
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.
Option D
7

Geraldine is graphing the inequality . Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.

Question illustration
A
Draw an open circle at 6.
B
Draw a closed circle at 6.
C
Shade all numbers less than 6.
D
Shade all numbers greater than 6.
E
Shade all numbers to the right of 6.
F
Shade all numbers to the left of 6.
8

Alfonso graphs the inequality using the steps below. Step 1: Draw a number line, and place an open circle at –8.Step 2: Shade to the left of –8 to represent the infinite solutions to .Step 3: Check work by substitution. FalseWhich best describes the situation?

Question illustration
A
The graph is incorrect. He should have used a closed circle at –8.
B
The graph is incorrect. He should have shaded to the right of –8.
C
The graph is correct. He should have checked his work with a number that was not on the shaded portion of the graph.
D
The graph is correct. He should have checked his work using –8.
9

An inequality represents an infinite amount of numbers smaller than 8. Which inequality represents the situation?

A
x greater-than 8
Option A
B
x less-than 8
Option B
C
x greater-than 7
Option C
D
x less-than 7
Option D
10

Selena is graphing the inequality . She begins by drawing a number line and placing an open circle at –2. Which could be Selena’s next step?

Question illustration
A
shading the number line to the left of the open circle
B
shading the number line to the right of the open circle
C
shading the number line to the right and left of the open circle
D
shading in the open circle

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Graphing Inequalities on a Number Line