Question

Solve the compound inequality 6b < 24 or 4b + 12 > 4. How do I do it?

Answer 1

do you know how to solve equations ?

Answer 2

6b < 24 or 4b + 12 > 4
i.e. b < 24/6 or 4b > 4-12
i.e. b < 4 or 4b > -8
i.e. b < 4 or b > -8/4
i.e. b < 4 or b > -2
thus -2<b<4

Answer 3

you solve inequalities just about like equations except for a few rules. One rule is for inequalities, if multiplying/dividing by a negative, the inequality sign changes. That rule does not apply in this case.
6b < 24 -- we want to get b by itself, so in this case we will divide both sides by 6.
6b/6 < 24/6
b < 4

4b + 12 > 4
subtract 12 from each side
4b + 12 - 12 > 4 - 12
4b > - 8
now divide both sides by 4
4b/4 > -8/4
b > - 2

so we have b is less then 4 and greater then -2
-2 < b < 4

I wanted to explain how to do it, rather then just giving the answer