Q:

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? Check all that apply.2428323640

Accepted Solution

A:
We are given that:
p is greater than 25, this means that p>25
p ∈ ]25,∞[ ...........> interval I

q is less than 35, this means that q<35
q ∈ ]-∞,35[ ...........> interval II

The given condition p ∧ q is true means that (p and q) is true. In other word, their intersection is true.
Therefore, the final result would be the intersection between the two intervals (interval I and interval II)

Bases on the above, the final answer would be:
]-∞,35[  ∧ ]25,∞[  which is ]25,35[