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.

Answer 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

Explanation:

Answer 2

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

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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

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