Writing and Graphing Inequalities
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
Name all the numbers that are solutions to the inequality x > 5
10, - 7, 5, 0, 6, 14
What is 10, 6, and 14
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
3x<-12
x<-4
>
What is greater than
Johnny looks at the bag of marbles. He says: “I think the amount of marbles in the bag is more than 45.” Write an inequality to show Johnny's statement, using m for the number of marbles.
What is m > 45
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
List all the numbers that works for the following inequality from the list below: x > 71
100, 93, 75, 53.5, 55, 89.5
What is 100, 93, 75, and 89.5
x+8<=12
x<=4
<
What is less than
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 (Explanation Varies)
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
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
x-9<=-3
x<=6
>=
What is greater than or equal to
Graph the Inequality: x < 2
What is an open circle on the number two and an arrow pointing to the left
Graph the inequality x > 40
What is an open circle on 40 with an arrow going to the right
Yazmin noticed that she is a little taller than Camari, who is 150 cm tall, 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 > 150
x/-3<-8
x>24
<=
What is less than or equal to
Graph the Inequality:
x>=-3
What is a closed circle on the number - 3 and an arrow going to the right
Graph the inequality x < -5.
What is an open circle at -5 with an arrow pointing to the left
Select all the numbers that works for the following inequality from the list below:
x < 160.
140, 155, 165, 124, 159, 170
What is 140, 155, 124, and 159
-7<=x/3
-21<=x
or
x>=-21
=
What is equal sign