Twenty-seven minus 2/3 of a number (x) is not more than 36. What is the number?

A. x> 42

B. X2-6

C. x<3

D. xs-6

x ≥ 13.5

Step-by-step explanation:

"2/3 of a number (x) " - --> (2/3) x

"Twenty-seven minus 2/3 of a number (x) " - --> 27 - (2/3) x

"is not more than 36" can be rephrased as " is less than or equal to 36"

hence

27 - (2/3) x ≤ 36 (subtract 27 from both sides)

- (2/3) x ≤ 36 - 27

- (2/3) x ≤ 9 (multiply both sides by - 1, remember to flip the sign)

(2/3) x ≥ - 9 (multiply both sides by 3/2)

x ≥ - 9 (3/2)

x ≥ 13.5

The number is D. xs-6