5-1 Solving Inequalities By Addition And Subtraction Worksheet With Answers Page 19
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31The inequality is true when p is equal to or less than
, so the solution checks.
5-1 Solving Inequalities by Addition and Subtraction
In this problem, you will explore multiplication and division in inequalities.
Suppose a balance has 12 pounds on the left side and 18 pounds on the right side. Draw a
picture to represent this situation.
Write an inequality to represent the situation.
Create a table showing the result of doubling, tripling, or quadrupling the weight on each side of the
balance. Create a second table showing the result of reducing the weight on each side of the balance by a factor
of , , or
. Include a column in each table for the inequality representing each situation.
Describe the effect multiplying or dividing each side of an inequality by the same positive value has
on the inequality.
a.
12 lb < 18 lb
c.
12
18
x2
24
36
x3
36
54
x4
48
72
12
18
6
9
x
4
6
x
3
x
If a true inequality is multiplied by a positive number, the resulting inequality is also true. If a true inequality is
divided by a positive number, the resulting inequality is also true.
If m
m ?
Page 19
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So, ? = 17.
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