Solve for x. −3≤6x−9< 39 enter your answer, as one inequality, in the box.

Solve for x means that you have to get rid of the coefficient of the x as well as the term next to it.
first, we will get rid of the term (-9), we can do that by adding 9 to all sides of the inequality:
-3+9 =< 6x-9+9 < 39+9
6 =< 6x < 48
then, we will get rid of the coefficient by dividing all terms by 6
this means that:
1 =< x < 8
therefore, the intervals to which x belongs are:
]-infinity,1] U ]8,infinity]

-3 < = 6x - 9 < 39
-3 + 9 < = 6x - 9 + 9 < 39 + 9
6 < = 6x < 48
6/6 < = (6/6)x < 48/6
1 < = x < 8 <

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