5-1 Solving Inequalities By Addition And Subtraction Worksheet With Answers Page 9
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31The solution set is {a | a > 9}.
5-1 Solving Inequalities by Addition and Subtraction
Define a variable, write an inequality, and solve each problem. Check your solution.
Twice a number is more than the sum of that number and 9.
Let n = the number.
The solution set is {n | n >9}.
To check substitute three different values into the original inequality: 9, a number less than 9, and a number greater
than 9.
The inequality is true when n is greater than 9, so the solution checks.
The sum of twice a number and 5 is at most 3 less than the number.
Let n = the number.
The solution set is {n | n
8}.
To check substitute three different values into the original inequality: 8, a number less than 8, and a number
greater than 8.
Page 9
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