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.

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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Math Middle School Thành Đạt 1 month 2022-12-28T13:55:04+00:00 2022-12-28T13:55:04+00:00 2 Answers 0 views 0

Answers ( 2 )

lethu · Answer 1 · 2022-12-28T13:56:23+00:00

lethu

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2022-12-28T13:56:23+00:00 December 28, 2022 at 1:56 pm

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

thucuc · Answer 2 · 2022-12-28T13:56:50+00:00

Answer:

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

____________________

2p − 8 < 5p + 4 when p = -3

2(-3) − 8 < 5(-3) + 4

-6 − 8 < -15 + 4

-14 < -11 TRUE

____________________

2p − 8 < 5p + 4 when p = -4

2(-4) − 8 < 5(-4) + 4

-8 − 8 < -20 + 4

-16 < -16 FALSE

____________________

2p − 8 < 5p + 4 when p = -5

2(-5) − 8 < 5(-5) + 4

-10 − 8 < -25 + 4

-18 < -21 FALSE