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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

7. Solve Inequalities by Multiplication or Division

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Exercise 26 Page 511

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

y > -40

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.

-8 < y/5

LHS* 5 < RHS * 5

(-8) * 5 < y

(- a)b = - ab

-40 < y

Rearrange inequality

y > -40

The above tells us that all values of y that are greater than -40 will satisfy the inequality.

Subchapter links

Guided Practice p.508

Independent Practice p.509-510

H.O.T. Problems p.510

Standardized Test Practice p.510-512

Extra Practice p.511

Common Core Review p.512