Question

What is the solution for the inequality equation -x-3 < 1 or x+2 > 3?

Answer 1

1. x > -4

2. x > 1

Explanation:

1. -x-3<1

Multiply by -1 and flip the signs (multiplying/dividing by a negative flips the signs):
x + 3 > 1
Subtract 3 from both sides:
x > -4

2. x + 2 > 3

Subtract 2 from both sides:

x > 1

3. If the two are merged together (unclear from how the question is being asked), then observe that they share the same sign and pick the more restrictive of the two (x > 1).