Graphing Inequalities on a Number Line

Question 1

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

Revolt · Accepted Answer

There are infinite solutions.; Each solution is negative.; The solutions contain rational number values.

Question 2

An inequality represents an infinite amount of numbers larger than –5. Which inequality represents the situation?

Revolt · Accepted Answer

x greater-than negative 5

Question 3

Which best describes the numbers satisfying the inequality ?

Revolt · Accepted Answer

all numbers less than 7

Question 4

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?

Revolt · Accepted Answer

shading the number line to the left of the open circle

Question 5

A number is greater than 8. The same number is less than 10. The inequalities and represent the situation. Which best explains the number of possible solutions to the inequality?

Revolt · Accepted Answer

There are infinite solutions because there is always another number between any two numbers.

Question 6

Graham is graphing the inequality . He draws a number line and shades over the numbers that are greater than 4. What must Graham do to complete his representation of ?

Revolt · Accepted Answer

Draw an open circle at 4.

Question 7

Which best explains whether 9 is a solution to the inequality ?

Revolt · Accepted Answer

It is not a solution because 9 is not greater than 9.

Question 8

The number of pounds of wheat produced is greater than 500. The inequality represents the situation. Which statement best represents the solutions of the inequality?

Revolt · Accepted Answer

infinite rational values of x greater than 500

Question 9

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

Revolt · Accepted Answer

Draw an open circle at 6.; Shade all numbers less than 6.; Shade all numbers to the left of 6.

Question 10

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

Revolt · Accepted Answer

A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.

Graphing Inequalities on a Number Line Answers

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