Question

Write the following sets in the roaster form.
a) A = { :∈,2+11=15 }
b) C = { : }

Answer 1

Answer:

i) A= {2}

ii) B= {0,1}

Step-by-step explanation:

(i) Given: A = {x∶ x ∈ R,2x + 11 = 15}

To find: Roster form of given set

2x + 11 = 15

⇒ 2x = 15 – 11

⇒ 2x = 4

⇒ x = 2

So, A = {2}

(ii) Given: B = {x | x^2  = x,x ∈ R}

To find: Roster form of given set

x^2  = x

⇒ x^2  – x = 0

⇒ x(x – 1) = 0

⇒ x = 0 or 1

So, B = {0,1}