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…

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

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

Explanation:

Step1: Analyze the conditions

$p$ means the number is greater than 25 and $q$ means the number is less than 35. For $p\land q$ (logical - and) to be true, the number must satisfy both conditions.

Step2: Check each option

  • Option 24: $24<25$, does not satisfy $p$.
  • Option 28: $25 < 28<35$, satisfies both $p$ and $q$.
  • Option 32: $25 < 32<35$, satisfies both $p$ and $q$.
  • Option 36: $36>35$, does not satisfy $q$.
  • Option 40: $40>35$, does not satisfy $q$.

Answer:

28, 32