Answer:
3 < x < 6
Step-by-step explanation:
You can subtract 2 from all parts of the inequality:
-13 -2 > -5x +2 -2 > -28 -2 . . . . subtract 2
-15 > -5x > -30 . . . . . . . . . . . . . . simplify
Now, you can divide by -5. This will reverse the sense of the comparisons:
-15/-5 < -5x/-5 < -30/-5 . . . . . . divide by -5
3 < x < 6 . . . . . . . . . . . . . . . . . . simplify
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You can do the same operations after you divide the compound inequality into two simple inequalities:
-13 > -5x +2
-15 > -5x . . . . . subtract 2
3 < x . . . . . . . . divide by -5
and
-5x +2 > -28
-5x > -30
x < 6
Then the inequalities 3 < x and x < 6 can be combined into one compound inequality:
3 < x < 6
