Question

Let p: A number is greater than 25.
Let q: A number is less than 35.

If p ∧ q is true, then what could the number be? Select two options.

24
28
32
36
40

Answer 1

To satisfy the condition \( p \land q \) (which means both \( p \) and \( q \) are true), we need a number that:

1. Is greater than 25 (p is true).
2. Is less than 35 (q is true).

That means the number must be in the range \( 25 < x < 35 \).

Now let's evaluate the options given:

- 24: Not greater than 25 (p is false).
- 28: Greater than 25 and less than 35 (both p and q are true).
- 32: Greater than 25 and less than 35 (both p and q are true).
- 36: Not less than 35 (q is false).
- 40: Not less than 35 (q is false).

The two options that satisfy \( p \land q \) are **28** and **32**.