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  • Write the following sets in the roaster form first A equals to bracket x is to x belongs to R comma 2 x plus 11 equals to 5 second B equals to bracket x bracket x to the power 2 equals x comma x x belongs to R

  1. Write the following sets in the roaster form:

(i) A = \left \{ x : x \epsilon R, 2x + 11 = 15 \right \}
(ii) B = \left \{ x | x^{2} = x, x \epsilon R \right \}
(iii) C = \left \{ x | x is a positive factor of a prime number p\left \ \right \}

Answers (1)

(i) Given that A = \left \{ x : x \epsilon R, 2x + 11 = 15 \right \}

2x + 11 = 15

2x = 4

 2x = 4

x = 2 ; Hence , A =\left \{ 2 \right \}

 (ii) Given that B = \left \{ x | x^{2} = x, x \epsilon R \right \}

x^{2} = x

x^{2} - x = 0

x(x-1) = 0

x = 0 ,x = 1 ; Hence B = (0,1)

(iii) Given that C = \left \{ x | x is a positive factor of a prime number p\left \ \right \}

So , the positive factors of prime number P are 1 and P . Hence , C= \left \{ 1,P \right \}

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