Answered

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solve this question 2|x + 3| <4

Sagot :

Marver1ck

Answer:

-5 < x < -1

Step-by-step explanation:

2|x + 3| < 4

Case 1: x + 3 ≥ 0

If x + 3 ≥ 0, then |x + 3| = x + 3.

Substituting this into the inequality, we have:

2(x + 3) < 4

2x + 6 < 4

2x < 4 - 6

2x < -2

x < -1

Case 2: x + 3 < 0

If x + 3 < 0, then |x + 3| = -(x + 3).

Substituting this into the inequality, we have:

2(-(x + 3)) < 4

-2x - 6 < 4

-2x < 4 + 6

-2x < 10

x > -5

So, the answer is -5 < x < -1

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