School

University of Florida **We aren't endorsed by this school

Course

SCIENCE 12

Subject

Mathematics

Date

Oct 20, 2023

Pages

2

Uploaded by ColonelLeopard3628 on coursehero.com

Algebra 1
Unit 4 Study Guide
Solving Inequalities
Explain why the
solution is
correct or
incorrect
Solution
Correct or
Incorrect
Explanation
Example:
K < 3.2
K = 5
Incorrect
K cannot equal 5 because 5 is not less than
3.2
1.
8.3 > m
M = 2.9
Correct
The
solution is correct because 2.9 is less
than 8.3.
2.
Z < 2.9
Z = 2.9
Incorrect
The solution is incorrect because Z is not less
than 2.9, it is equal to 2.9.
3.
W > 7.4
W = -12
correct
The solution is correct because -12 is greater
than 7.4,
4.
If N is the set of natural numbers that are factors of 45, list the set in roster form.
N = {1, 3, 5, 9, 15, 45}
5.
U = {1,2,3,4,5,6,7,8,9,10} is the universal set, and P = {1,3,5,7,9}. What is P'
P' = {2, 4, 6, 8, 10}.
6.
Write and solve an inequality for the following situation:
The cat rescue is selling cat beds as a fundraiser. If its goal is to raise $1300, how many cat
beds must be sold at $15.00 each to meet the goal?
15x ≥ 1300
Dividing both sides of the inequality by 15:
x ≥ 86.67
Round up to the nearest whole number: 87 cat beds must be sold at $15.00 each to meet the goal of
raising $1300.

7.
Molly scored 150 and 175 points on her first two rounds of Candy Crush. Write and solve a
compound inequality to find the possible values for a third game that would give her an
average between 160 and 170.
(150 + 175 + x) / 3
160 ≤ (150 + 175 + x) / 3 ≤ 170 multiply each side by 3 480 ≤ 325 +
x ≤ 510 subtract 325 from each side: 155 ≤ x ≤ 185 = Molly can get
on her third game to have an average between 160 and 170 are
between 155 and 185.
8.
Graph the following inequality:
w ≤
5
9.
Solve and Graph:
3
x
>−
6
3x > -6 is x > -2.
10.
Solve and graph:
2
x
−
2
<−
10
∨
2
x
+
3
>
15
2x - 2 < -10 is x < -4.

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