SOLUTION: Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line. -7<3x+5<11

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(52794) (Show Source): You can put this solution on YOUR website!
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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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