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.
Question
-
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: -241/3(-24 – 3) ≤ 1/6(-24 – 12)1/3(-27) ≤ 1/6(-36)-9 ≤ -5 TRUE___________________________Test integer: -61/3(-6 – 3) ≤ 1/6(-6 – 12)1/3(-9) ≤ 1/6(-18)-3 ≤ -3 TRUE___________________________Test integer: 121/3(12 – 3) ≤ 1/6(12 – 12)1/3(9) ≤ 1/6(0)3 ≤ 0 FALSE___________________________Test integer: 241/3(24 – 3) ≤ 1/6(24 – 12)1/3(21) ≤ 1/6(12)7 ≤ 2 FALSEStep-by-step explanation:
-
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: -241/3(-24 – 3) ≤ 1/6(-24 – 12)1/3(-27) ≤ 1/6(-36)-9 ≤ -5 TRUE___________________________Test integer: -61/3(-6 – 3) ≤ 1/6(-6 – 12)1/3(-9) ≤ 1/6(-18)-3 ≤ -3 TRUE___________________________Test integer: 121/3(12 – 3) ≤ 1/6(12 – 12)1/3(9) ≤ 1/6(0)3 ≤ 0 FALSE___________________________Test integer: 241/3(24 – 3) ≤ 1/6(24 – 12)1/3(21) ≤ 1/6(12)7 ≤ 2 FALSE___________________________