Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1-4. Quiz
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Exercise 12 Page 80

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

All real numbers.

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.
8(3g-2) ≤ 12(2g+1)
24g -16 ≤ 12(2g+1)
24g-16 ≤ 24g+12
- 16 ≤ 12
The statement - 16 ≤ 12 is always true. Therefore, the solution to the inequality is all real numbers.