Question

For which values of x is the inequality 3(1 + x) > x + 17 true?

Answer 1

Answer:  The correct option is

(D) 8 and 9.

Step-by-step explanation:  We are given to select the correct values of x for which the following inequality is true :

$3(1+x)>x+17~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To select the correct values of x, we must solve the given inequality.

From inequality (i), we have

$3(1+x)>x+17\\\\\Rightarrow 3+3x>x+17\\\\\Rightarrow 3x-x>17-3\\\\\Rightarrow 2x>14\\\\\Rightarrow x>\dfrac{14}{2}\\\\\Rightarrow x>7.$

Since the value of x is strictly greater than 7, so the correct vaues will be 8 and 9.

Option (D) is CORRECT.

Answer 2

For which values of x is the inequality 3(1 + x) > x + 17 true?
A) 2 & 3
B) 4 & 5
C) 6 & 7
☆☆☆☆☆☆☆☆D) 8 & 9