SOLUTION: 30 < 6(x

SOLUTION: 30 < 6(x - 3) < 60

Question 345403: 30 < 6(x - 3) < 60
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
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 Reduce the expression (78)/(6) by removing a factor of 6 from the numerator and denominator.
8 Convert the solution to set notation.
(8,13)
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