Question

choose 1 answer:
a ( x < 4 )
b ( x leq 4 )
c ( x > 4 )
d ( x geq 4 )

Explanation:

Step1: Analyze the number line

The number line has a closed circle at 4 (which means 4 is included) and the arrow points to the right (indicating values greater than or equal to 4).

Step2: Match with the inequalities

• Option A ($x < 4$) would have an open circle and arrow left, incorrect.
• Option B ($x \leq 4$) would have a closed circle and arrow left, incorrect.
• Option C ($x > 4$) would have an open circle and arrow right, incorrect.
• Option D ($x \geq 4$) matches the closed circle at 4 and arrow right.

Answer:

D. \( x \geq 4 \)