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Envision Math 2.0: Grade 7, Volume 2

EM

Envision Math 2.0: Grade 7, Volume 2 View details

6. Solve Two-Step Inequalities

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Exercise 5 Page 292

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

x< 5

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. The only difference is that when we divide or multiply by a negative number, we must reverse the inequality sign.

4 + 6.5x < 36.5

LHS-4

4 + 6.5x - 4 < 36.5 - 4

Subtract terms

6.5x < 32.5

.LHS /6.5.<.RHS /6.5.

6.5x/6.5< 32.5/6.5

Calculate quotient

x< 5

The above tells us that all values of x that are less than 5 will satisfy the inequality.

Subchapter links

Do You Understand? p.292

Do You Know How? p.292

Practice & Problem Solving p.293-294

Assessment Practice p.294