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

Question

NEED HELP ASAP!!! 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}

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1 month 2022-12-28T13:55:04+00:00 2 Answers 0 views 0

1. answer to this question is {-2,-3}

S:{−2, −3}
Step-by-step explanation:
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}
We will substitute in the integers and find the ones that make the equation true:
2p − 8 < 5p + 4 when p = -2
2(-2) − 8 < 5(-2) + 4
-4 − 8 < -10 + 4
-12 < -6 TRUE
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2p − 8 < 5p + 4 when p = -3
2(-3) − 8 < 5(-3) + 4
-6 − 8 < -15 + 4
-14 < -11 TRUE
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2p − 8 < 5p + 4 when p = -4
2(-4) − 8 < 5(-4) + 4
-8 − 8 < -20 + 4
-16 < -16 FALSE
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2p − 8 < 5p + 4 when p = -5
2(-5) − 8 < 5(-5) + 4
-10 − 8 < -25 + 4
-18 < -21 FALSE