Graphing Inequalities on a Number Line

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Questions and Answers

An inequality represents an infinite amount of numbers larger than -5. Which inequality represents the situation?

  • X = -5
  • X >= -5
  • X < -5
  • X > -5 (correct)

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 ______.

<p>x &lt; 100</p> Signup and view all the answers

Which statements below describe steps Geraldine may take to graph the inequality X < 6? (Select all that apply)

<p>Shade all numbers less than 6 (C), Draw an open circle at 6 (D)</p> Signup and view all the answers

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?

<p>X &lt; 8</p> Signup and view all the answers

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Study Notes

Graphing Inequalities on a Number Line

  • Inequality can represent an infinite set of values; for example, X > -5 indicates all numbers larger than -5.

  • To graph the inequality X > 4, an open circle is drawn at 4 on a number line, with shading extending to the right.

  • 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.

  • 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.

  • When graphing X < 6, specific actions include drawing an open circle at 6, shading to the left, and indicating all values less than 6.

  • 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.

  • 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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