Question

solve the inequality and show your work
-6b > 42 or 4b > -4

Answer 1

Well, what's the solution set first for
-6b > 42
?

Answer 2

that is all I have is this

Answer 3

Yes, I'm breaking the problem down. Three steps
1. What is the solution set for b for the first inequality: -6b > 42?
2. What's the solution set for 4b > -4?
3. Given those two sets what is their combination, given the "or" of the original problem?

Now, what's the answer to step 1?

Answer 4

1. b=7

Answer 5

No definitely not. If b = 7 were a solution, then
-6(7) = -42 > 42
which is clearly false.

Answer 6

i'm really confused

Answer 7

If the problem was just: for what b is
6b > 42
what would be the solution then?

Answer 8

8?

Answer 9

You need to go back a few steps/few chapters in your book and learn how to solve basic inequalities.

This problem assumes you know how to solve them and then is asking for something quite thoughtful in step 3.

For the record, if
6b > 42
we can divide both sides by 6. As 6 is a positive number, the direction of the inequality is preserved and
b > 7

Hence the solution set for 6b > 42 is all real numbers b such that b > 7.