Question

which graph shows the correct representation of {x | x ≤ 5}?

Explanation:

The set \(\{x \mid x \leq 5\}\) includes all values less than or equal to 5. On a number line, this is represented by a closed circle at 5 (to include 5) and an arrow pointing towards values less than 5. Assuming the vertical number line has increasing values upward, "less than 5" points downward. The correct graph should have a closed circle at 5 and a downward arrow.

Answer:

The graph with a closed circle at 5 and a downward arrow.