If the universal set U - x - x integer- -6- x -7 and M - y - y even number- 1- y -5- complement of M -A- M -5-4-3-2-3-5-6B- M -5-4-3-2-1-0-1-3-5-6C- M -0-1-3-5-6D- M-5-4-3-2-1-

The correct option is B M' = 5, 4, 3, 2, 1, 0, 1, 3, 5, 6. Find all elements of sets U and M. U = 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6; M = 2, 4 A Venn ...

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Standard VIII

Mathematics

Letters for Digits

If the univer...

Question

If the universal set U = {x: x integer; -6< x <7} and

M = {y: y even number; 1< y <5}, complement of M=

M' = {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}.

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M' = {-5, -4, -3, -2, -1}.

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M' = {0, 1, 3, 5, 6}.

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M' = {-5, -4, -3, -2, 3, 5, 6}.

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Solution

The correct option is A
M' = {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}.

Find all elements of sets U and M.

U = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}; M = {2, 4}

A Venn diagram to display sets U, M, and M'.

The complement of set M is the set highlighted in yellow, whose elements are in set U, but not in set M.

Therefore M' = {-5, -4, -3, -2, -1, 0, 1, 3, 5, 6}.

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Similar questions

Find the sum of the following polynomials and write the degree of the sum so obtained

(i) 2x³ $-$ 7x² + 3x + 4 ; 2x³ $-$ 3x² + 4x + 1
(ii) 3x² + 5x $-$ x⁷ ; $-$ 3x² + 5x + 8
(iii) x⁴ + 5x³ + 7x ; 4x³ $-$ 3x² + 5
(iv) y² + 2y $-$ 5 ; y³ + 2y² + 3y + 4 ; y³ + 7y $-$ 2
(v) 5m² + 3m + 8 ; m³ $-$ 6m² + 4m ; m³ $-$ m² $-$ m + 5

Q. Add the given polynomials.

(i)

x^{3} - 2 x^{2} - 9; 5 x^{3} + 2 x + 9

(ii)

- 7 m^{4} + 5 m^{3} + \sqrt{2}; 5 m^{4} - 3 m^{3} + 2 m^{2} + 3 m - 6

(iii)

2 y^{2} + 7 y + 5; 3 y + 9; 3 y^{2} - 4 y - 3

Solve the following

1. -5(a-3)-2(a+5)=7-9a

2. m/7+1/3= m/6+5/4

3. 2a/3-4/5=-3/4+1

Q. Solve using formula.
(1) x² + 6x + 5 = 0
(2) x² – 3x – 2 = 0
(3) 3m² + 2m – 7 = 0
(4) 5m² – 4m – 2 = 0
(5)

y^{2} + \frac{1}{3} y = 2

(6) 5x² + 13x + 8 = 0

Expand:
(1) $(a + 2) (a - 1)$
(2) $(m - 4) (m + 6)$
(3) $(p + 8) (p - 3)$
(4) $(13 + x) (13 - x)$
(5) $(3 x + 4 y) (3 x + 5 y)$
(6) $(9 x - 5 t) (9 x + 3 t)$
(7) $(m + \frac{2}{3}) (m - \frac{7}{3})$
(8) $(x + \frac{1}{x}) (x - \frac{1}{x})$
(9) $(\frac{1}{y} + 4) (\frac{1}{y} - 9)$

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If the universal set U = {x: x integer; -6< x <7} and M = {y: y even number; 1< y <5}, complement of M=

If the universal set U = {x: x integer; -6< x <7} and

M = {y: y even number; 1< y <5}, complement of M=