3 1 inequalities and their graphs
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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

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
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
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