1.

Let A={1,2,3,4}. Examine whether the statements given below are true or false. (i) exists x in A" such that "x+3=8. (ii) AA x in A, x+2 lt7. (iii) exists z harr A" such that "x+1lt3. (iv) AA x in A, x+3 ge5.

Answer»

Solution :(i) Clearly, no number in A satisfies x+3=8.
`therefore` the given STATEMENT is FALSE.
(ii) Every number in A satisfies `x+2lt7.`
So, the given statement is true.
(III) Clearly, `x=1harrA" satisfies "x+1lt3.`
`therefore` the given statement is true.
(IV) Since `x=1 in A` does not satisfy `x+3ge5`, the given statement is false.


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