Math 7 Name ________________________
Practice 4.5-4.6 Graphing and Solving Inequalities Date: _____________Block: ____
Write an inequality that is represented by the graph.
1.
2.
3.
5.
Solve the inequality. Graph your solution.
7.
x + 7 > 1
9.
10

–2 a
11.
b + 9.5

–6.4
13.
𝑚
5
> –5
15.
–2 < – 2
3 m
4.
6.
8.
n – 3

9
10.
12 < − 𝑧
3
12.
–2.5
y < 7.3
14.
6 < 𝑥
–2
16.
2 ≤ –5p

Write the verbal sentence as an inequality. Then solve the inequality and graph your solution.
17.
The product of 7 and b is less than –35. 18.
The quotient of m and –2 is at least 23.
19.
Twenty-four is no more than the sum of 35 and x . 20.
Five is greater than the difference of x and 63.
21.
You received a $25 gift card to a sporting goods store for your birthday. You are looking at skateboards and want to spend no more than $85 of your own money. a.
Write and solve an inequality to find the prices p in dollars of skateboards you can buy. b.
What is the most expensive skateboard you can buy?
22.
Restaurants typically pay wait staff an hourly wage that is lower than minimum wage. The wait staff is expected to make up the difference in tips. The minimum wage is $5.15 per hour and a restaurant pays the wait staff $4 per hour. a.
If a waitress works an 8-hour shift, write and solve an
inequality that gives the total tips t in dollars that the waitress must earn in an 8-hour shift in order to meet or exceed the minimum wage.
23.
Solve the inequalities. Graph your solution. b.
If the waitress makes $10.40 in tips during an 8-hour shift, will she meet or exceed the minimum wage? By how much? c.
If the waitress makes $9.20 in tips during an 8-hour shift, will she meet or exceed the minimum wage? By how much?
a + 3 > – 8 –3b < 21 6 ≥ –p + 5 –8 ≥ k – 5
–2m + 4 > 20 𝑦
−4
≥ 1
1
2 𝑥 – 1 ≤ –4 –12 ≤ 4g