Question

Math help. Question below.



Solve the compound inequality
-6<3(x+5)<18
The < symbol in the question is actually the "less than or equal to" sign, I don't have a button for that.

Answer 1

Firstly, split it into 2.
-6<3(x+5) and
3(x+5)<18

so for -6<3(x+5)
-6<3x+15
-21<3x
x>-7

and for 3(x+5)<18
3x+15<18
3x<3
x<1

So the answer is -7<x<1

Answer 2

divide the expression by 3 and then subtract 5 you will get the range of x which will be the solution for the given inequality

Answer 3

upon dividing by 3, the inequality is -2<x+5<6
then subtract 5 from the whole inequality
implies -2-5<x<6-5
therefore -7<x<1 is your answer