Question

Given sets P = {-7, -3, -2, -1, 4} and Q = {-3, -1, 0, 4, 9), what is P ∩ Q?

Question 5 options:

{-7, -3, -2, -1, 0, 4, 9}


{-7, -2, 0, 9}


{-3, -1, 4}


The sets do not have an intersection.

Answer 1

The intersection of two sets \( P \) and \( Q \), denoted \( P \cap Q \), consists of the elements that are present in both sets.

Given:
- \( P = \{-7, -3, -2, -1, 4\} \)
- \( Q = \{-3, -1, 0, 4, 9\} \)

Now, let's find the common elements in both sets:
- The elements in \( P \) are \(-7, -3, -2, -1, 4\).
- The elements in \( Q \) are \(-3, -1, 0, 4, 9\).

The common elements from both sets are:
- \(-3\) (present in both)
- \(-1\) (present in both)
- \(4\) (present in both)

Therefore, the intersection \( P \cap Q \) is:
\[
P \cap Q = \{-3, -1, 4\}
\]

So the correct option is:
**{-3, -1, 4}**