Question 1087762: Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.
-7<3x+5<11
Answer by ikleyn(52903)   (Show Source):
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Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.
-7<3x+5<11
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-7 < 3x + 5 < 11.
Subtract 5 from each compound of the inequality. You will get an equivalent compound inequality
-7 - 5 < (3x + 5) -5 < 11 - 5, or, which is the same
- 12 < 3x < 6.
Now divide each compound of the inequality by positive 3. You will get
-4 < x < 2.
It is your solution.
Answer. The solution to the original compound inequality is -4 < x < 2.
Solved.
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