Question

Desperate for helllppp pls

Answer 1

• B) - 1 < x < - 0.2

Explanation:

Given inequality

• |5x + 3| < 2

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

Option 1

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

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

Option 2

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