Question

-4 raised to power 5 divided by -4 raised to power 8​

Answer 1

Answer:

A = {x : x is an integer -

1

2

< <

9

2

} , B = {x : xN, 2< x  5}

Verify that (AB) - (AB)= (A-B)  (B-A)

Integers are …, -3, -2, -1, 0, 1, 2, 3, 4, 5,…

-3, -2, -1, -0.5, 0 , 1, 2, 3, 4, 4.5 ,5

A = {0,1,2,3,4}

B= {3,4,5}

L.H.S

AB = {0,1,2,3,4}  {3,4,5} = {0,1,2,3,4,5}

AB = {0,1,2,3,4}  {3,4,5} = {3,4}

(AB) - (AB) = {0,1,2,3,4,5} – {3,4} = {0,1,2,5}

R.H.S

A – B = {0,1,2,3,4} - {3,4,5} = {0,1,2}

B – A = {3,4,5} – {0,1,2,3,4} = {5}

(A-B)  (B-A) = {0,1,2}  {5} = {0,1,2,5}

L.H.S = R.H.S

4. U = {x : xW, x  6} , A = {x : x is a prime divisor of 6} , B = {1,2,5}

Verify De Morgan’s laws

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

A = {2,3}

B = {1,2,5}

A

I = U – A

= {0,1,2,3,4,5,6} – {2,3}

= {0,1,4,5,6}

Step-by-step explanation: