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If A={2,3,4,5,6}, determine the truth va...

If `A={2,3,4,5,6},` determine the truth value of each of the following:
(i) `EEx""inA,` such that x+3=10
(ii) `AAx""inA,x+6ge9`
(iii) `EEx""inA,` such that `x+2lt5`.

Text Solution

Verified by Experts

(i) No number in A satisfies x+3=10. So the given statement is false, hence its truth value is F.
(ii) Cleaely `x=2inA` does not satisfy `x+6ge9` So. The given statement is false, hence its truth value is F.
(iii) Clearly `x=2inA` satisfies `x+2lt5`. So the given statement is true, hence its truth value is T.
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