Question 345403
30<6(x-3)<60

Multiply 6 by each term inside the parentheses.
30<6x-18<60

Move all terms not containing x from the center section of the interval inequality.
30+18<6x<60+18

Add 18 to 30 to get 48.
48<6x<60+18

Add 18 to 60 to get 78.
48<6x<78

Divide each term in the inequality by 6.
(48)/(6)<(6x)/(6)<(78)/(6)

Reduce the expression (48)/(6) by removing a factor of 6 from the numerator and denominator.
8<(6x)/(6)<(78)/(6)

Reduce the expression (6x)/(6) by removing a factor of 6 from the numerator and denominator.
8<x<(78)/(6)

Reduce the expression (78)/(6) by removing a factor of 6 from the numerator and denominator.
8<x<13

Convert the solution to set notation.
(8,13)