Question 392520
-8<=3x-7<=-2

Move all terms not containing x from the center section of the interval inequality.
-8+7<=3x<=-2+7

Add 7 to -8 to get -1.
-1<=3x<=-2+7

Add 7 to -2 to get 5.
-1<=3x<=5

Divide each term in the inequality by 3.
-(1)/(3)<=(3x)/(3)<=(5)/(3)

Reduce the expression (3x)/(3) by removing a factor of 3 from the numerator and denominator.
-(1)/(3)<=x<=(5)/(3)

Convert the solution to set notation.
[-(1)/(3),(5)/(3)]