Digits, Grade 8, Volume 1, Homework Helper

6-3: Writing and Solving Inequalities with Variables on Both Sides

Part 1

Example Converting Word Statements to Inequalities

Write an inequality to represent the statement below. Use the symbols needed from the list.

table with 2 rows and 9 columns , row1 column 1 , 9.8 , column 3 en dash 2 , column 5 1 half , column 7 1.3 , column 9 n , column 2 en dash , column 4 plus , column 6 greater than or equal to , column 8 less than or equal to , end table

9.8 less than −2 times a number is greater than or equal to 1 half the same number plus 1.3.

Then solve the inequality for n.

Solution

The statement can be represented by the inequality negative 2 n minus 9.8 greater than or equal to , 1 half , n plus 1.3 .

-11.1/2.5 is greater than or equal to 2.5n/2.5: Rewrite 5/2n as 2.5n.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties