Question

Which values are solutions to 90 < –30p + 15? Check all that apply.

p = –10
p = 0
p = –2.5
p = 3
p = –5
p = 7.6

Answer 1

Answer: p=-10, p=-5

Explanation:

Answer 2

p = -10 and p = -5

Explanation:

Given inequality,

`90 < -30 p + 15`

Subtract -15 on both sides of inequality,

`90 - 15 < -30 p`

`75 < -30 p`

Divide both sides of inequality by 30

`2.5<-p`

`2.5>p` ( a < b ⇒ -a > -b )

`-2.5>p`

Hence, p must be less than -2.5

So, the possible value of p from the given options are,

p = -10 and p = -5.