Solve this question from Linear Inequations chapter ICSE syllabus.

Deepak BoraNewbie

# 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.

Share

Become a Mathematics wizard and get above

i ) {2,3,4}

ii). {1,0}

−3x+4<2x−3

⇒−3x−2x<−3−4

⇒−5x<−7

⇒x>

5

7

As x∈N

The solution set P is {2,3,4,5,…}

And

4x−5<12

⇒4x<12+5

⇒4x<17

⇒x<

4

17

As x∈W

The solution set Q is {0,1,2,3,4}

Therefore,

(i) P∩Q={2,3,4}

(ii) Q−P={0,1}