Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Probability
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Exercise 11 Page 288

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

Solution Set: g ≤ - 3
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.
6 ≤ - 2g
6/- 2 ≥ - 2g/- 2
-6/2 ≥ - 2g/- 2
-3 ≥ - 2g/- 2
-3 ≥ 2g/2
-3 ≥ g
g ≤ - 3
The above tells us that all values of g that are less than or equal to - 3 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that g can equal - 3, which we show with a closed circle on the number line.