3 1 inequalities and their graphs
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3.1 Inequalities and Their Graphs. I can write, graph, and identify solutions of inequalities. A mathematical sentence that contains <, >, ≤, ≥, or =. Represents situations that involve minimum or maximum amounts. Uses the terms “at least” or “at most” Sometimes contains a variable

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3.1 Inequalities and Their Graphs

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3 1 inequalities and their graphs

3.1 Inequalities and Their Graphs

I can write, graph, and identify solutions of inequalities.


Inequality

  • A mathematical sentence that contains <, >, ≤, ≥, or =.

  • Represents situations that involve minimum or maximum amounts.

  • Uses the terms “at least” or “at most”

  • Sometimes contains a variable

    • Ex: x ≥ 2

Inequality


Solution of an inequality

  • Any value that makes the inequality true.

  • Ex: 6, 8, and 15 are some of the solutions to x ≥ 6 since it is true that 6 ≥ 6, 8 ≥ 6, and 15 ≥ 6.

Solution of an Inequality


Practice

  • Identify solutions to the inequality.

  • Tell whether each number is a solution to the inequality x – 1 ≤ 2; -3, 0, 3, 4.5

Practice


Graphing inequalities

  • Use a closed circle when the inequality includes “equal to” (≤, ≥, =)

  • Use an open circle when the inequality is strictly less than or strictly greater than (<, >)

Graphing Inequalities


You try

  • Graph the following inequalities:

  • w < -3

  • x ≥ 1

You try!


Writing inequalities

EX: Write an inequality for the graph.

Writing Inequalities


Writing inequalities1

Describe each situation using an inequality.

Writing Inequalities


Application

  • To be labeled sugar free, a food product must contain less than 0.5 g of sugar per serving. Write an inequality to describe this requirement.

Application


Assignment

  • ODDS ONLY

  • p. 168 #9-39

Assignment


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