Page 175 - Math Course 1 (Book 1)

Inequalities: More Than One Operation

Real World Example
3(2 + d) ≥ 10 Write the inequality.
BACKPACKING
6 + 3d ≥ 10 Use the Distributive
Property. A person weighing 168 pounds has a 7-pound
backpack. If three times the weight of your back-
6 + 3d – 6 ≥ 10 – 6 Subtract 6 from each side. pack and its contents should be less than your
body weight, what is the maximum weight for the
3d ≥ 4 Simplify. contents of the pack?

3d ≤ 4 Divide each side by 3. A. greater than 49 pounds
3 3
B. less than 49 pounds
1
d ≤ 1 Simplify. 2
3 C. less than 53 pounds
3
1 D. less than 147 pounds
Answer at least 1 kms
3
Answer

Your Turn!

Solve a Two-Step Inequality
Solve 3x – 9 < 18 and check your solution. Graph
the solution on a number line.

A. x < 3
B. x < 9
C. x > 3
D. x > 9

Answer

Reverse the Inequality Symbol

Solve 8 + 2x < 5x – 7 and check your solution.
Graph the solution on a number line.

A. x > 5
2 3 4 5 6 7 8

B. x < 5
2 3 4 5 6 7 8
1
C. x >
3 -1 - 2 - 1 0 1 2 1
3 3 3 3
1
D. x <
3 -1 - 2 - 1 0 1 2 1
3 3 3 3

Answer

167