Questions and Answers
An inequality represents an infinite amount of numbers larger than -5. Which inequality represents the situation?
What must Graham do to complete his representation of x > 4?
Draw an open circle at 4
Which best explains the number of possible solutions to the inequality x > 8 and x < 10?
There are infinite solutions because there is always another number between any two numbers.
The total number of running yards in a football game was less than 100. This is represented by the inequality ______.
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Which statements below describe steps Geraldine may take to graph the inequality X < 6? (Select all that apply)
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Which graph represents the inequality X > 6?
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An inequality represents an infinite amount of numbers smaller than 8. Which inequality represents the situation?
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Study Notes
Graphing Inequalities on a Number Line
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Inequality can represent an infinite set of values; for example, X > -5 indicates all numbers larger than -5.
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To graph the inequality X > 4, an open circle is drawn at 4 on a number line, with shading extending to the right.
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The inequalities x > 8 and x < 10 indicate that there is an infinite number of potential solutions between 8 and 10, as there are endlessly many numbers between any two given numbers.
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For the inequality x < 100, an appropriate graph would show an open circle at 100 with shading to the left, indicating all numbers less than 100.
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When graphing X < 6, specific actions include drawing an open circle at 6, shading to the left, and indicating all values less than 6.
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To represent the inequality X > 6, the graph should include an open circle at 6 with shading to the right, displaying all numbers greater than 6.
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The inequality X < 8 signifies an infinite range of numbers smaller than 8, requiring proper representation with an open circle at 8 on a number line.
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Description
This quiz focuses on how to graph inequalities on a number line. It covers various types of inequalities, such as x > 4 and x < 100, illustrating how to represent these inequalities graphically with open circles and shading. Test your understanding of visualizing infinite sets of values through proper graphing techniques.
