Question

Solve the compound inequality 6b<24 or 4b+12>4

Answer 1

or, not and

solve each seperately

6b<24
divide both sides by 6
b<4

4b+12>4
minus 12 both sides
4b>-8
divide by 4
b>-2

b<4 or b>-2
b>-2 or b<4
if we graph each on a number line, they go in oposite directions

since it is OR, the solution must satisfy one OR the other, doesn't have to be both

graph looks like this

therfor answer is all real numbers