Question

Find the range of possible values of x.

A. -6 < x < 8


B. -6 < x < 11


C. -4 < x < 8


D. 0 < x < 11

Answer 1

b is the correct answer

Answer 2

Answer with explanation:

In Δ K J M, ∠KJM is an acute angle.

So, 0° < ∠KJM < 90°

⇒ 0° < (3 x +18)° < 90°

Adding, -18 on both sides of inequality

⇒ 0 -18 < 3 x +18 -18 < 90-18

⇒ -18 < 3 x < 72

Dividing by , 3 to whole Inequality

⇒ -6 < x < 24

Option B , is most Appropriate.

⇒B. -6 < x < 11