The mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x
-
A.
x (leq) 3 -
B.
x (geq) 3 -
C.
x -
D.
x > 3
Correct Answer: Option A
Explanation
mean (leq) 5; (frac{2 + 5 + 2x + 7}{4}) (leq) 5
= (frac{14 + 2x}{4} leq 5)
= 14 + 2x (leq) 5 x 4
14 + 2x (leq) 20 ; 2x (leq) 20 – 14
2x (leq) 20 – 14
2x (leq) 6
x (leq) (frac{6}{2})
x (leq) 3