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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

3. Solving Multi-Step Inequalities

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Exercise 60 Page 303

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

C

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 you divide or multiply by a negative number, you must reverse the inequality sign.

4t + 2 < 8t - (6t-10)

Distribute -1

4t + 2 < 8t - 6t+10

Subtract terms

4t + 2 < 2t + 10

LHS-2t

2t+2<10

LHS-2

2t<8

.LHS /2.<.RHS /2.

t<4

The given inequality has the solution set {t|t<4} which corresponds to option C.

Subchapter links

Check Your Understanding p.300

Practice and Problem Solving p.301-302

H.O.T. Problems p.302

Standardized Test Practice p.303

Spiral Review p.303

Skills Review p.303