Use the image to answer the question.btwc the answer is not x ≥ 4.5

Question

A number line is shown ranging from negative 10 to 10 with numbers listed in unit increments. A closed point is plotted on the number line between 4 and 5, just after 4. A rightward arrow is marked on the number line that originates at the closed point and goes beyond 10.



What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

Based on the description provided, the closed point between 4 and 5 indicates that the value at that point is included in the solution set. Since there is a rightward arrow from this point, it suggests that the values greater than or equal to this point are part of the solution.

Since the closed point is just after 4, the inequality should reflect that \( x \) is greater than or equal to 4. The correct inequality would be:

\[ x \geq 4 \]

However, you mentioned that the answer is not \( x \geq 4.5 \), suggesting that the closed point is actually at \( x \) being slightly greater than 4 but less than 4.5. Therefore, the inequality can be formulated as:

\[ x \geq 4 \]

If the closed point is specifically at 4, then that is the correct interpretation because values greater than 4 up to 10 will satisfy the inequality given the rightward arrow.

Hence, if the interpretation is accurate, the final inequality should be:

\[ x \geq 4 \]

If it is further specified that the closed point should not be at or equal to 4.5 but still includes 4, then specifying the closed interval could be an option. If more clarification leads to a different specification, please update accordingly.