Question

If P is the solution set of -3x + 4 < 2x – 3, x ∈ N and Q is the solution set of 4x – 5 < 12, x ∈ W, find
(i) P ∩ Q
(ii) Q – P.

Answer 1

Answer:

(i) {2,3,4}

(ii){1,0}

Step-by-step explanation:

the P set is

-3x+4-2x+3<0

-5x+7<0

-5x<-7

5x>7

x>7/5

P={2,3,4,5,6,7,,,,,}

the Q set is

4x<17

x<17/4

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

(i) P^Q ={2,3,4}

(ii) Q-P={1,0}