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Difference of Two Sets

Find the symm...

Question

Find the symmetric difference between the following sets.
(i) $X = {a, d, f, g, h}, Y = {b, e, g, h, k}$
(ii) $P = {x : 3 < x < 9, x \in N}, Q = {x : x < 5, x \in W}$
(iii) $A = {- 3, - 2, 0, 2, 3, 5}, B = {- 4, - 3, - 1, 0, 2, 3}$

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Solution

(i) $X △ Y = {a, b, d, e, f, k}$
(ii) $P △ Q = {0, 1, 2, 3, 5, 6, 7, 8}$
(iii) $A △ B = {- 4, - 2, - 1, 5}$

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Similar questions

Q. Find the number of subsets and the number of proper subsets of the following sets.
(i)

A = {13, 14, 15, 16, 17, 18}

B = {a, b, c, d, e, f, g}

X = {x : x \in W, x \notin N}

A \cup B

A \cap B

for the following sets.
(i)

A = {0, 1, 2, 4, 6}

B = {- 3, - 1, 0, 2, 4, 5}

A = {2, 4, 6, 8}

B = \emptyset

A = {x : x \in N, x \leq 5}

B =

x : x

is a prime number less than 11}
(iv)

A = {x : x \in N, 2 < x \leq 7}

B = {x : x \in W, 0 \leq x \leq 6}

Question 2 (ii)

Identify the terms and factors in the expressions given below:

a) -4x + 5

b) $5 y + 3 y^{2}$

c) -4x + 5y

d) $x y + 2 x^{2} y^{2}$

e) p + q

f) -2.4b+3.6a

g) $\frac{3}{4} x + \frac{1}{4}$

h) $0.1 p^{2} + 0.2 q^{2}$

(i) Identify the terms and their factors in the following expressions

Show the terms and factors by tree diagrams.

(a) x − 3 (b) 1 + x + x² (c) y − y³

(d) (e) − ab + 2b² − 3a²

(ii) Identify terms and factors in the expressions given below:

(a) − 4x + 5 (b) − 4x + 5y (c) 5y + 3y²

(d) (e) pq + q

(f) 1.2 ab − 2.4 b + 3.6 a (g)

(h) 0.1p² + 0.2 q²

Q. Find the cardinal number of the following sets.
(i)

A =

x : x

is a prime factor of 12 }
(ii)

B = {x : x \in W, x \leq 5}

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