Question

Solve for b.

-3b+5>8 or b-4>0

Answer 1

Solve each inequality separately and take the union (OR).

1) -3b + 5 > 8
-3b > 3 (subtract 5)
b < -1 (divide by -3; flip the inequality)

2) b - 4 > 0
b > 4

So the solution is b < -1 or b > 4, i.e. (-∞, -1) ∪ (4, ∞).