Write an inequality using the variable x that corresponds to the set graphed on the number line.

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Part 1
A.
x​ < 1
B.
x greater than or equals 1
C.
x less than or equals 1
D.
x​ > 1

Answer 1

To determine the correct inequality that corresponds to the set graphed on the number line, we need to know what the graph looks like. Assuming the option provided is to indicate what type of inequality corresponds to a number line that shows values less than 1 (not including 1), the correct choice would be:

A. \( x < 1 \)

If the graph includes 1 itself (a closed dot at 1 indicating that 1 is a part of the solution), the appropriate choice would be:

C. \( x \leq 1 \)

If the graph shows values greater than or equal to 1 (which would usually show a filled dot at 1), then the correct choice would be:

B. \( x \geq 1 \)

However, if the graph indicates values greater than 1 only (an open dot at 1), then:

D. \( x > 1 \)

Please verify the number line's details (whether it's open or closed at 1, or whether it lies entirely to the left or right of 1) to choose the correct inequality.