Question

the us. constitution states that the president must be at least 35 years old.

Explanation:

Step1: Understand the inequality

The problem states the president must be at least 35 years old. "At least" means the age \( x \) satisfies \( x \geq 35 \).

Step2: Identify the number line

We need to find the number line that represents \( x \geq 35 \). The number line has marks at 22, 24, 26, 28, 30, 32, 34, 36, 38, 40. For \( x \geq 35 \), we look for a closed circle (since 35 is included) at 35 and an arrow pointing to the right (towards larger numbers). Looking at the number line, the position for 35 is between 34 and 36. So the correct representation would have a closed dot at 35 (or the mark corresponding to 35, which is between 34 and 36) and the arrow going right. Since the given number line has 34, 36, etc., the point for 35 is between 34 and 36. So the number line should show a closed circle at 35 (or the appropriate mark) and arrow right. Assuming the number line is as given, we check which part represents \( x \geq 35 \). The numbers 35, 36, 38, 40 are to the right of 34. So the correct representation is the part starting at 35 (inclusive) and going right.

Answer:

The number line should have a closed circle at 35 (or the mark between 34 and 36) and an arrow pointing to the right (towards 36, 38, 40, etc.). If we consider the given number line, the correct representation for \( x \geq 35 \) is the segment starting at 35 (inclusive) and extending to the right.