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

Question

-7
-6
-5
-4
-3
-2
-1
0
1
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5
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Question content area bottom
Part 1
A.
negative 5 less than or equals x less than or equals negative 1
B.
negative 5 ​< x less than or equals negative 1
C.
negative 5 less than or equals x​ < negative 1
D.
negative 5 ​< x​ < negative 1

Answer 1

To determine the correct inequality that corresponds to the set graphed on the number line, let's analyze the provided options.

If the number line shows a continuous shaded region starting from \(-5\) to \(-1\) and includes both endpoints, then the correct inequality would be \(-5 \leq x \leq -1\). This corresponds to option A.

If the shaded region starts from \(-5\) and goes up to \(-1\) but excludes \(-5\) while including \(-1\), the correct inequality would be \(-5 < x \leq -1\). This corresponds to option B.

If the shaded region includes \(-5\) but excludes \(-1\), then the correct inequality would be \(-5 \leq x < -1\). This corresponds to option C.

Finally, if the shaded region excludes both \(-5\) and \(-1\), then the correct inequality would be \(-5 < x < -1\). This corresponds to option D.

Based on the typical readings of such scenarios:

• If the graph includes both endpoints, the answer is A.
• If the graph excludes only \(-5\), the answer is B.
• If it includes \(-5\) but excludes \(-1\), the answer is C.
• If it excludes both, the answer is D.

You will need to refer to the specific graph to determine which inequality is the correct one. Please let me know the particulars of the graph for more accurate assistance.