Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
7. Solve Inequalities by Multiplication or Division
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Exercise 29 Page 511

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

Solution Set: t ≤ -20
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 we divide or multiply by a negative number, we must reverse the inequality sign.
10 ≤ t/-2
(-2)* 10 ≥ t
-20 ≥ t
t ≤ -20
The above tells us that all values of t that are less than or equal to -20 will satisfy the inequality. Let's graph the inequality on a number line. Notice that t can equal -20, which we show with a closed circle on the number line.