Answer:
p = -10 and p = -5
Step-by-step explanation:
Given inequality,
[tex]90 < -30 p + 15[/tex]
Subtract -15 on both sides of inequality,
[tex]90 - 15 < -30 p[/tex]
[tex]75 < -30 p[/tex]
Divide both sides of inequality by 30
[tex]2.5<-p[/tex]
[tex]2.5>p[/tex] ( a < b ⇒ -a > -b )
[tex]-2.5>p[/tex]
Hence, p must be less than -2.5
So, the possible value of p from the given options are,
p = -10 and p = -5.
