Answer:
-2<x<9
Step-by-step explanation:
−21<−3x+6<12-21<-3x+6<12
Move all terms not containing xx from the center section of the inequality.
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−27<−3x<6-27<-3x<6
Divide each term in the inequality by −3-3.
−27−3>−3x−3>6−3-27-3>-3x-3>6-3
Divide −27-27 by −3-3.
9>−3x−3>6−39>-3x-3>6-3
Cancel the common factor of −3-3.
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9>x>6−39>x>6-3
Divide 66 by −3-3.
9>x>−29>x>-2
Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.
−2<x<9-2<x<9
The result can be shown in multiple forms.
Inequality Form:
−2<x<9-2<x<9
Interval Notation:
(−2,9)
