Envision Math 2.0: Grade 7, Volume 2
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Envision Math 2.0: Grade 7, Volume 2 View details
4. Solve Inequalities Using Addition or Subtraction
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Exercise 6 Page 277

What can you do to isolate a variable in an inequality?

Solution: See solution
Graph:

Practice makes perfect

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. Let's use the Subtraction Property of Inequality.

x + 5 < 7
x + 5 - 5 < 7 - 5
x < 2

The above tells us that all values of x that are less than 2 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that x can not equal 2, which we show with an open circle on the number line.