Linear Inequal (AR.2.6) & Absolute Value (AR.4.1)

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What is a linear inequality?

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A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a range of possible solutions on a number line.

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How do you solve a linear inequality?

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To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

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What does the symbol '≥' mean in an inequality?

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'≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

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The solution indicates that the variable h can take any value that is 42 or greater.

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What is an absolute value?

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How do you write an absolute value equation?

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This compound inequality represents the range of values for x that keeps the expression between 60 and 250.

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding equation as a line. Use a solid line for '≥' or '≤' and a dashed line for '>' or '<'. Then shade the region that satisfies the inequality.

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It indicates that w can take any value greater than 25, meaning all numbers above 25 are solutions.