Question

Solve: |2 + 4x| 11
Select the appropriate response
A) [-13/4, 9/4]
B) x=9
C) x=3,x=6

Help, please!

Answer 1

Correct option is A) [-13/4, 9/4] .

Step-by-step explanation:

Here we have following equation as  |2 + 4x| = 11 or , $|2 + 4x| = 11$ . We need to solve for the value of x .Let's find out:

We know that Modulus Function is both positive & negative for particular values of x , i.e.

|2 + 4x| is positive :

⇒ $|2+4x|=11$

⇒  $2+4x=11$

⇒  $4x=9$

⇒  $x = \frac{9}{4}$

|2 + 4x| is negative :

⇒ $|2+4x|=11$

⇒  $-2-4x=11$

⇒  $-4x=13$

⇒  $x = \frac{-13}{4}$

Therefore , Correct option is A) [-13/4, 9/4] .