A survey shows that $$63$$% of the people watch a news channel whereas, $$76$$% watch an entertainment channel at a particular time. lf x% of the people watch both types ofchannels, then

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Let A be the set of those people who watch news channel andB be the set of those people who watch entertainment channel.$$Thenn(A)=63$$,$$n(B)=76$$, and $$n(A$$∩$$B)=x$$∵    $$n(A$$∪$$B)$$≤$$100$$⇒    $$n(A)+n(B)$$−$$n(A$$∩$$B)$$≤$$100$$⇒    $$63+76$$−x≤$$100$$⇒    x≥$$39Also$$, $$n(A$$∩$$B)$$≤min⋅$${n(A)$$,$$n(B)}$$⇒    x≤$$63$$∴     $$39$$≤x≤$$63$$

A survey shows that 63% of the people watch a news channel whereas, 76% watch an entertainment channel at a particular time. lf x% of the people watch both types of
channels, then

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A survey shows that 63% of the people watch a news channel whereas, 76% watch an entertainment channel at a particular time. lf x% of the people watch both types ofchannels, then

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A survey shows that 63% of the people watch a news channel whereas, 76% watch an entertainment channel at a particular time. lf x% of the people watch both types of
channels, then