Question

HELP PLEASE <3
WILL MEDAL FOR BEST ANSWER <3

7. A compound inequality is shown below.

5 < 2 - 3v < 14

What is the solution of the compound inequality?

a. -4 > v > -1
b. -4 < v < -1
c. 1 > v > 4
d. 1 < v < 4

Answer 1

oooh, these are fun! First of all though, we should make things a little less confusing. First, break the complicated 5 < 2 - 3v < 14 into two separate problems:

5 < 2 - 3v and 2 - 3v < 14

that should look a bit easier to start with.

Answer 2

We should solve one at a time, do you prefer the left or right? which should we solve first?

Answer 3

doesn't really matter, it's just fun to choose. :)

Answer 4

5<2-3v<14
Subtracting 2 both sides
3<-3v<12
dividing by 3
1<-v<4
multiplying by -1(< changes to>)
-1>v>-4
or -4<v<-1

Answer 5

so b is true