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Glencoe Math: Course 2, Volume 2 View details

7. Solve Inequalities by Multiplication or Division

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Exercise 25 Page 511

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

t < -70

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.

t/-7 > 10

MultNegIneq

Multiply by -7 and flip inequality sign

t < (-7) * 10

MultNegPos

(- a)b = - ab

t < -70

The above tells us that all values of t that are less than -70 will satisfy the inequality.