Question

If A = {x|x ∈ Z,x2—x= 0},B={x|x ∈ N,1 ≤ x ≤ 4}, then can we say that A ⊂ B ? Why ?

Answer 1

Answer:

A = {0,1}

B = {1 , 2 , 3 , 4}

A is not subset of B

Step-by-step explanation:

A = {x|x ∈ Z,x2—x= 0}

x² - x = 0

=> x(x - 1) = 0

=> x = 0 or 1

=> A = {0,1}

B={x|x ∈ N,1 ≤ x ≤ 4}

=> x = 1 , 2 , 3 , 4

B = {1 , 2 , 3 , 4}

A has 0 but B does not have

=> A is not subset of B