Consider A -2 x -1- 5 - x - 10 and x - I and B -2 x -3- 5 - x - 10 and x - I - Find A - B A symmetric difference B

A = 11, 13, 15, 17, 19, 21 B = 7, 9, 11, 13, 15, 17 AΔB = (A ∪ B) – (A∩B) A ∪B = 7, 9, 11, 13, 15, 17, 19, 21 A∩B = 11, 13, 15, 17 AΔB = 7, 9, 19, 21 ...

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Byju's Answer

Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

Consider A =2...

Question

Consider A = {2x + 1: 5 $\leq$ x $\leq$ 10 and x $\in$ I} and B = { 2x - 3 : 5 $\leq$ x $\leq$ 10 and x $\in$ I}. Find A $Δ$ B (A symmetric difference B)

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Solution

A = {11, 13, 15, 17, 19, 21}

B = {7, 9, 11, 13, 15, 17}

A $Δ$ B = (A $\cup$ B) – (A $\cap$ B)

A $\cup$ B = {7, 9, 11, 13, 15, 17, 19, 21}

A $\cap$ B = {11, 13, 15, 17}

A $Δ$ B = {7, 9, 19, 21}

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Similar questions

Q. Consider A = {2x + 1: 5

\leq

\leq

10 and x

\in

I} and B = { 2x - 3 : 5

\leq

\leq

10 and x

\in

I}. Find A

Δ

Q. Match the following expressions and its factors.

Column I	Column II
(A) $x^{3} + 2 x^{2} - 13 x + 10$	(p) $x - 2$
(B) $x^{2} - 7 x + 10$	(q) $x + 5$
(C) $x^{2} - 5 x + 6$	(r) $x - 3$

Simplify these expressions and find their values if x = 3, a = − 1, b = − 2.

(i) 3x − 5 − x + 9 (ii) 2 − 8x + 4x + 4

(iii) 3a + 5 − 8a + 1 (iv) 10 − 3b − 4 − 5b

(v) 2a − 2b − 4 − 5 + a

Q. Given,

A = {x : - 2 < x \leq 5, x \in R}

and

{x : - 5 \leq x < 3, x \in R}

U = {x : - 5 \leq x \leq 5}

A \cap B

ii)

A^{'} \cap B

on different number lines.

Q. Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find following products.
(i)

(x + 3) (x + 7)

(ii)

(4 x + 5) (4 x + 1)

(iii)

(4 x - 5) (4 x - 1)

(iv)

(4 x + 5) (4 x - 1)

(v)

(2 x + 5 y) (2 x + 3 y)

(vi)

(2 a^{2} + 9) (2 a^{2} + 5)

(vii)

(x y z - 4) (x y z - 2)

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Consider A = {2x + 1: 5 ≤ x ≤ 10 and x ∈ I} and B = { 2x - 3 : 5 ≤ x ≤ 10 and x ∈ I}. Find A Δ B (A symmetric difference B)

A = {11, 13, 15, 17, 19, 21} B = {7, 9, 11, 13, 15, 17} AΔB = (A ∪ B) – (A∩B) A ∪B = {7, 9, 11, 13, 15, 17, 19, 21} A∩B = {11, 13, 15, 17} AΔB = {7, 9, 19, 21}

Consider A = {2x + 1: 5 $\leq$ x $\leq$ 10 and x $\in$ I} and B = { 2x - 3 : 5 $\leq$ x $\leq$ 10 and x $\in$ I}. Find A $Δ$ B (A symmetric difference B)

A = {11, 13, 15, 17, 19, 21}

B = {7, 9, 11, 13, 15, 17}

A $Δ$ B = (A $\cup$ B) – (A $\cap$ B)

A $\cup$ B = {7, 9, 11, 13, 15, 17, 19, 21}

A $\cap$ B = {11, 13, 15, 17}

A $Δ$ B = {7, 9, 19, 21}