Question

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

Answer 1

There is multiple choice btw//

Answer 2

6b < 24

any idea what to do? (I would divide both sides by 6, and simplify)

Answer 3

so b > 4

Answer 4

you are not allowed to change the < to a >
so close, but try again

Answer 5

b < 4

Answer 6

yes. and notice the "big side" of < is next to the 4. that means 4 is bigger than b
or (same thing)
the "small side" of < is next to "b" , so b is smaller than 4

now we do the next part
4b + 12 > 4

Answer 7

The first step is add -12 to both sides
can you do that ?

Answer 8

Yes- 4b>-8

Answer 9

not negative4

Answer 10

ok, now divide both sides by 4

Answer 11

b>-2

Answer 12

so if either b> -2 or b < 4
is true, then the inequality is true
notice that no matter what value we pick for b it will either be bigger than -2
or less than 4 (and sometimes both)

in other words, all values will work.