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1 year ago

Desperate for helllppp pls

Mathematics

1 answer:

beks73 [17]1 year ago

7 0

Answer:

B) - 1 < x < - 0.2

Step-by-step explanation:

<h3>Given inequality</h3>

|5x + 3| < 2

The LHS is absolute value so we look at two options:

<h3>Option 1</h3>

5x + 3 is positive, then the inequality becomes:

5x + 3 < 2
5x < 2 - 3
5x < - 1
x < - 1/5 or x < - 0.2

<h3>Option 2</h3>

5x + 3 is negative, then the inequality becomes:

- (5x + 3) < 2
5x + 3 > - 2
5x > - 2 - 3
5x > - 5
x > - 1

The solution is the combination of the two intervals:

x > - 1 and x < - 0.2 ⇒ - 1 < x < - 0.2

Correct choice is B

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