If T = {prime numbers} and M = {odd numbers} are subsets of μ = {x: 0

Question 469 of 480

If T = {prime numbers} and M = {odd numbers} are subsets of μ = {x: 0 < x ≤ 10, x integer}, find (T′ ∩ M′).

{4, 6, 8, 10}
{1, 4, 6, 8, 10}
{1, 2, 4, 6, 8, 10}
{1, 2, 3, 5, 7, 8, 9}

Correct Answer: B

Explanation

μ = {1,2,3,4,5,6,7,8,9,10}. T = {2,3,5,7}. M = {1,3,5,7,9}. T′ = μ - T = {1,4,6,8,9,10}. M′ = μ - M = {2,4,6,8,10}. T′ ∩ M′ = {1,4,6,8,9,10} ∩ {2,4,6,8,10} = {4,6,8,10}. Wait, check: 1 is in T′ but not M′; 9 is in T′ but not M′. So common are {4,6,8,10}. But option B includes 1? Let's re-check. T′ = {1,4,6,8,9,10}. M′ = {2,4,6,8,10}. Intersection = {4,6,8,10}. That matches A. The provided options suggest the correct answer is A.