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I am Lyosha [343]
3 years ago
9

Solve: |2 + 4x| 11

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

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

<u>Step-by-step explanation:</u>

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] .

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