Linear Inequalities Worksheets Page 28
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50Practice and Problem Solving
Extra Practice begins on page 815.
Example 2
16.
SPEED
The posted speed limit on an interstate highway is shown.
SPEED
Write an inequality that represents the sign. Graph the inequality.
LIMIT
17.
NUMBER THEORY
Find all sets of two consecutive positive odd integers
with a sum that is at least 8 and less than 24.
MINIMUM
B
Write a compound inequality for each graph.
18.
19
-2 -1
0
1
2
3
4
-4 -3 -2 -1
0
1
2
20.
21.
-1
0
1
2
3
4
-6 -5 -4 -3 -2 -1
0
22.
23.
1
2
3
4
5
6
7
-4 -3 -2 -1
0
1
2
Solve each compound inequality. Then graph the solution set.
24. 3b + 2 < 5b - 6 ≤ 2b + 9
25. -2a + 3 ≥ 6a - 1 > 3a - 10
26. 10m - 7 < 17m or -6m > 36
27. 5n - 1 < -16 or -3n - 1 < 8
28.
COUPON
Juanita has a coupon for 10% off any digital camera at a local electronics
store. She is looking at digital cameras that range in price from $100 to $250.
a. How much are the cameras after the coupon is used?
b. If the tax amount is 6.5%, how much should Juanita expect to spend?
Define a variable, write an inequality, and solve each problem.
Then check your solution.
29. Eight less than a number is no more than 14 and no less than 5.
30. The sum of 3 times a number and 4 is between -8 and 10.
31. The product of -5 and a number is greater than 35 or less than 10.
32. One half a number is greater than 0 and less than or equal to 1.
33.
SNAKES
Most snakes live where the temperature ranges from 75°F to 90°F,
inclusive. Write an inequality for temperatures where snakes will not thrive.
34.
FUNDRAISING
Yumas is selling gift cards to raise money for a class trip.
Cards
Prize
He can earn prizes depending on how many cards he sells. So far, he
1–15
1
has sold 34 cards. How many more does he need to sell to earn a prize
16–30
2
in category 4?
31–45
3
35.
TURTLES
Atlantic sea turtle eggs that incubate below 23°C or above
46–60
4
33°C rarely hatch. Write the temperature requirements in two ways: as
+61
5
a pair of simple inequalities, and as a compound inequality.
36.
GEOMETRY
The Triangle Inequality Theorem states that the sum of the
measures of any two sides of a triangle is greater than the measure of
the third side.
x
9
a. Write and solve three inequalities to express the relationships
among the measures of the sides of the triangle shown at the right.
b. What are four possible lengths for the third side of the triangle?
4
c. Write a compound inequality for the possible values of x.
307
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