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To determine the truth value of p^q when x is replaced by 25, let's first define p and q:
- p: x is greater than 20
- q: x is divisible by 5
1. When x is replaced by 25:
- p becomes true because 25 is greater than 20.
- q also becomes true because 25 is divisible by 5.
Therefore, p^q is true when x is replaced by 25. Both conditions (p and q) are met, making the conjunction (p^q) true in this case.
So, the correct answer is:
- p^q is true.
