Writing and Graphing Inequalities

Solutions of Inequalities

Interpreting Inequalities

Random

Name the Symbols

100

Emily looks at a bag of marbles. She says: “I think the amount of marbles in the bag is less than 50.” Write an inequality to show Emily's statement, using m for the amount of marbles.

What is m < 50

100

Name all the numbers that are solutions to the inequality x > 5

A. 10 B. - 7 C. 5 D. 0 E. 6 F. 14

What is A. 10, E. 6, F. 14

100

Layla says that the inequalities

w>=5

and

w<=12

describe her cat’s weight. What do the inequalities tell us about her cat’s weight?

Answers will Vary.

What is Layla's cat weights at least 5 lbs but no more than 12 pounds

100

Graph the inequality: x > 3

What is an open circle on 3 and an arrow pointing to the right.

100

>

What is greater than

200

Aujah looks at the bag of marbles. She says: “I think the amount of marbles in the bag is more than 45.” Write an inequality to show Aujah's statement, using m for the number of marbles.

What is m > 45

200

Draw a number line to represent the following inequality:

x > 6

What is an open circle on -6 and an arrow pointing to the right

200

Circle all the numbers that works for the following inequality: x > 71

(Hint: If you get stuck, consider drawing a number line to help you.)

A. 100 B. 93 C. 75 D. 53.5 E. 55 F. 89.5

What is A. 100, B. 93, C. 75, F. 89.5

200

Aaron looks at a bag of candy. He says: “I think the number of pieces of candy in the bag is less than 53.” Write an inequality to show Aarons' statement, using p for the number of pieces of candy.

What is p < 53

200

<

What is less than

300

If Lucas thinks there are at least 30 pieces of candy in a bag and Hudson thinks there is at most 45 pieces of candy in the bag. Would they agree that there could be 40 pieces of candy in the bag? Explain your reasoning.

What is Yes (with an explanation!)

300

A ride at Six Flags has a minimum height requirement of 40 inches and a maximum height requirement of 65 inches. Write two inequalities for the height requirements, using h for the unknown height.

What is h 40, h 65

300

Ella says that the inequalities, h > 147 and h < 157 describes her height in centimeters. What do the inequalities tell us about her height?

What is Ella's height is between 147 and 157 centimeters but it does NOT include either number

300

Circle all the numbers that make the following inequality true:

73 < x

(Hint: If you get stuck, consider drawing a number line to help you.)

A. 105 B. 90 C. 70 D. 73.5 E. 50 F. 89.5

What is A. 105, B. 90, D. 73.5, F. 89.5

300

>=

What is greater than or equal to

400

Graph the Inequality: x < 2

What is

an open circle on the number two and an arrow pointed to the left

400

Graph the two inequalities x > 40 and x < 55

What is an open circle on 40 and an open circle on 55 with a shaped line connecting the two dots

400

Yazmin noticed that she is a little taller than Camari but is shorter than their math teacher, who is 165 centimeters tall. Write two inequalities to describe Yazmin’s height. Let y be Yazmin’s height in centimeters.

What is y < 165, y > c

400

Drew says that the inequalities, p > 63 and p < 85 describe the amount of people at an art fair. What do the inequalities tell us about the amount of people at an art fair?

Answers may vary.

What is there are at least 63 people at the art fair but no one than 85 people.

400

<=

What is less than or equal to

500

Graph the Inequality: X > -3

What is a shaded circle on the number - 3 and an arrow shaped to the right

500

Graph the two inequalities x < 12 and x > 5 on the same number line.

What is an open circle at -5 with an arrow pointing to the left and an open circle at 5 with an arrow pointing to the right.

500

Circle all the numbers that works for the following inequality:

x < 160.

(Hint: If you get stuck, consider drawing a number line to help you.)

A. 140 B. 155 C. 165. D. 124 E. 159 F. 170

What is A. 140, B. 155, D. 124, E. 159

500

Graph the following inequalities on the same number line: x > 12 and x < 20.

What is an open circle on 12, open circle on 20, and a shaded line connecting the two numbers together.

500

=

What is equal sign

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