# PLEASE HELP ASAP Determine which integers in the set S:{−24, −6, 12, 24} will make the inequality one third times the difference o

Question

PLEASE HELP ASAP Determine which integers in the set S:{−24, −6, 12, 24} will make the inequality one third times the difference of m and three is less than or equal to one sixth times the difference of m and twelve false.

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1 month 2022-12-28T13:35:46+00:00 2 Answers 0 views 0

1. Answer:Determine which integers in the set S:{−24, −6, 12, 24} will make the inequality one third times the difference of m and three is less than or equal to one sixth times the difference of m and twelve false.
formula: 1/3(m – 3) ≤ 1/6(m-12)
Test integer: -24
1/3(-24 – 3) ≤ 1/6(-24 – 12)
1/3(-27) ≤ 1/6(-36)
-9 ≤ -5 TRUE
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Test integer: -6
1/3(-6 – 3) ≤ 1/6(-6 – 12)
1/3(-9) ≤ 1/6(-18)
-3 ≤ -3 TRUE
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Test integer: 12
1/3(12 – 3) ≤ 1/6(12 – 12)
1/3(9) ≤ 1/6(0)
3 ≤ 0 FALSE
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Test integer: 24
1/3(24 – 3) ≤ 1/6(24 – 12)
1/3(21) ≤ 1/6(12)
7 ≤ 2 FALSE
Step-by-step explanation:

2. Step-by-step explanation:
Determine which integers in the set S:{−24, −6, 12, 24} will make the inequality one third times the difference of m and three is less than or equal to one sixth times the difference of m and twelve false.
formula: 1/3(m – 3) ≤ 1/6(m-12)
Test integer: -24
1/3(-24 – 3) ≤ 1/6(-24 – 12)
1/3(-27) ≤ 1/6(-36)
-9 ≤ -5 TRUE
___________________________
Test integer: -6
1/3(-6 – 3) ≤ 1/6(-6 – 12)
1/3(-9) ≤ 1/6(-18)
-3 ≤ -3 TRUE
___________________________
Test integer: 12
1/3(12 – 3) ≤ 1/6(12 – 12)
1/3(9) ≤ 1/6(0)
3 ≤ 0 FALSE
___________________________
Test integer: 24
1/3(24 – 3) ≤ 1/6(24 – 12)
1/3(21) ≤ 1/6(12)
7 ≤ 2 FALSE
___________________________