Find the range of possible values of x.
A. -6 < x < 8
B. -6 < x < 11
C. -4 < x < 8
D. 0 < x < 11
![Find the range of possible values of x A 6 lt x lt 8 B 6 lt x lt 11 C 4 lt x lt 8 D 0 lt x lt 11 class=](https://us-static.z-dn.net/files/d42/f364aa4d6aa662c03edb6e1c82ce9ab9.jpg)
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