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McGraw Hill Glencoe Algebra 1, 2012

MH

McGraw Hill Glencoe Algebra 1, 2012 View details

3. Solving Multi-Step Inequalities

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Exercise 10 Page 300

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

Solution Set: {g| g<-1}
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. The only difference is that when you divide or multiply by a negative number, you must reverse the inequality sign.

- 5(g+4)>3(g-4)

Distribute -5 & 3

- 5g-20>3g-12

LHS+5g>RHS+5g

- 20>8g-12

LHS+12>RHS+12

-8>8g

.LHS /8.>.RHS /8.

-1>g

Rearrange inequality

g< -1

Now, we can write the solution set. {g|g<- 1} This tells us that all values less than -1 satisfy the inequality. Now, let's graph the solution set on a number line. Notice that since the inequality is strict, g cannot equal -1, which we show with an open circle on the number line.

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