Digits, Grade 7, Volume 1, Homework Helper
  • c. Words to Inequality.

Key Concept

Equivalent inequalities are inequalities that have the same solution. You can solve an inequality by transforming it into a series of simpler, equivalent inequalities.

A two-step inequality involves two operations. To solve a two-step inequality, it is usually easier to perform the order of operation in reverse. So undo addition or subtraction and then undo multiplication or division.

Solve x over negative 3 , plus 12 less than , 28.9.

table with 4 rows and 3 columns , row1 column 1 , cap subtract , 12 . fromeachside , column 2 x over negative 3 , plus 12 minus 12 , column 3 less than , 28.9 , minus 12 , row2 column 1 , cap simplify. , column 2 x over negative 3 , column 3 less than , 16.9 , row3 column 1 , table with 2 rows and 1 column , row1 column 1 , cap multiplyeachsideby . minus 3 , row2 column 1 , cap reversetheinequalitysymbol. , end table , column 2 negative 3 . open , x over negative 3 , close , column 3 greater than negative 3 open , 16.9 , close , row4 column 1 , cap simplify. , column 2 x , column 3 greater than negative , 50.7 , end table

Solution: A number line shaded to the right of an open dot at −50.7.


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties