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Let A = {2, 3, 5, 7}. Examine whether th...

Let A = {2, 3, 5, 7}. Examine whether the statements given below are true or false. (i) `exists x in A" such that "x+3 gt9.` (ii) `exists x in A` such that x is even. (iii) `exists x in A" such that "x+2=6.` (iv) `AA x in A, x` is prime. (v) `AA x in A, x+2 lt10` (vi) `AA x in A, x+4 ge11`

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To determine the truth value of the given statements regarding the set \( A = \{2, 3, 5, 7\} \), we will analyze each statement one by one. ### Statement (i): "There exists \( x \in A \) such that \( x + 3 > 9 \)." 1. Rewrite the inequality: \[ x + 3 > 9 \implies x > 6 \] ...
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