Question

Which values are solutions to 90 < –30p + 15? check all that apply.p = –10p = 0p = –2.5p = 3p = –5p = 7.6?

Answer 1

The given inequality is

$90 < -30p + 15$

We need to isolate p, and for that , first we subtract 15 to both sides, that is

$90-15< -30p+15-15$

$75 < -30p$

Dividing both sides by -30. And on dividing by negative number, the sign of the inequality change . That is

$-2.5>p \\ p$

And -10 is less then -2.5 . So the correct option is

$p=-10$