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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. |
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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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