Q. 7

# If U = {a, b, c, d, e, f, g, h}, A = {a, b, c, d} and B = {b, d, f, g},

Find

i. A ∪ B

ii. (A ∪ B)’

iii. A ∩ B

iv. (A ∩ B)’

Answer :

U = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {b, d, f, g}

i. A ∪ B = {a, b, c, d, f, g} [elements that are present in either A or B]

ii. U = {a, b, c, d, e, f, g, h}

A ∪ B = {a, b, c, d, f, g}

∴ (A ∪ B)’ = {e, h} [elements that are present in U but not in A ∪ B]

iii. A ∩ B = {b, d} [elements that are present in both A and B]

iv. U = {a, b, c, d, e, f, g, h}

A ∩ B = {b, d}

∴ (A ∩ B)’ = {a, c, e, f, g, h} [elements that are present in U but not in A ∩ B]

Rate this question :

If U = , A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 9, 10},

Find

i. A’

ii. B’

iii. A’ ∪ B’

iv. A’ ∩ B’

Tamilnadu Board Math Term-IIf A B, then A – B is

Tamilnadu Board Math Term-IIf U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 5, 6, 9, 10} then A’ is

Tamilnadu Board Math Term-IUse the Venn diagram to answer the following questions

i. List the elements of

U, E, F, E ∪ F and E ∩ F

ii. Find n(U), n(E ∪ F) and n(E ∩ F)

Tamilnadu Board Math Term-IIf X = {x : x = 2n, x ≤ 20 and } and Y = {x : x = 4n, x ≤ 20 and }

Find (i) X ∪ Y (ii) X ∩ Y

Tamilnadu Board Math Term-IGiven that U = {3, 7, 9, 11, 15, 17, 18}, M = {3, 7, 9, 11} and N = {7, 11, 15, 17},

Find

i. M – N

ii. N – M

iii. N’ – M

iv. M’ – N

v. M ∩ (M – N)

vi. N ∪ (N – M)

vii. n(M – N)

Tamilnadu Board Math Term-IIf A = {x : x is a multiple of 5, x ≤ 30 and }

B = {1, 3, 7, 10, 12, 15, 18, 25},

Find (i) A ∪ B (ii) A ∩ B

Tamilnadu Board Math Term-IFind the symmetric difference between the following sets.

i. X = {a, d, f, g, h}, Y = {b, e, g, h, k}

ii. P = {x : 3 < x < 9, }, Q = {x : x < 5, }

iii. A = {−3, −2, 0, 2, 3, 5}, B = {−4, −3, −1, 0, 2, 3}

Tamilnadu Board Math Term-I