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

32

step-by-step explanation: