QQuestionMathematics
QuestionMathematics
Which inequality is represented by the graph below? Check all that apply.
x > 9
x < 9
any rational number greater than or including 9
any rational number less than or including 9
any rational number greater than 9
any rational number less than 9
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Answer
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Step 1:: Identify the shaded region on the number line.
The shaded region is to the right of 9 on the number line.
Step 2:: Interpret the shaded region in terms of inequalities.
Since the shaded region is to the right of 9, the inequality will have 9 as the boundary with the shaded region representing numbers greater than 9.
Step 3:: Write the inequality using mathematical notation.
x > 9
Step 4:: Consider other possible answer choices.
The graph does not shade the region to the left of 9, so there is no need to include inequalities like x < 9, any rational number less than or including 9, or any rational number less than 9.
Step 5:: Check for the remaining answer choices.
The inequality x > 9 represents the shaded region on the number line. However, the graph does not include the value 9 itself in the shaded region. Therefore, the answer choice "any rational number greater than or including 9" is not correct.
Final Answer
The inequality represented by the graph is x > 9.
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