Question

Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.

S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}

Answer 1

S: {-2, -3}

Explanation:

We can find which integers will make the inequality true by solving for p:

`2p-8 < 5p+4\\2p < 5p+12\\-3p < 12\\p > -4`

Since the solution to the inequality is p > -4, any integers greater than -4 will make the inequality true.

S:{-2, -3} is the only answer where all the integers are greater than -4.