Answer:
Step-by-step explanation:
Given inequality
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
