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 x in A" such that "x+1lt3.`
(iv) `AA x in A, x+3 ge5.`

Explanation

To determine the truth values of the given statements about the set \( A = \{1, 2, 3, 4\} \), we will analyze each statement step by step.

### Statement (i):
**"There exists \( x \in A \) such that \( x + 3 = 8 \)."**

1. We need to find an \( x \) in set \( A \) such that \( x + 3 = 8 \).
2. Rearranging the equation gives us \( x = 8 - 3 = 5 \).
3. Now, we check if \( 5 \) is an element of set \( A \).
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