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Solving Linear Inequalities: Practice and Solutions

Learn how to solve linear inequalities, find the set of solutions, and graph them on the number line. Practice with sample inequalities and understand the rules for solving unusual solutions.

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Solving Linear Inequalities: Practice and Solutions

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  1. Chapter 4 Section 1 Solving Linear Inequalities

  2. Inequalities • > greater than • ≥ greater than or equal to • < less than • ≤ less than or equal to

  3. Practice • True/False • 4 > 7 • 2 > 9 • 3 ≥ 3 • 5 < 7 • 6 ≤ 3

  4. Inequality • Linear inequality in one variable • Placing an inequality symbol between a linear expression (mx + b) and a constant • Solving an Inequality • Finding the set of numbers that make the inequality true. Theses numbers are called solutions and satisfy the inequality.

  5. Sample of Inequalities • 3x – 5 > -17 • 2x – 4 < x + 5

  6. Solve like an Equation Just remember: If you multiply or divide by a negative number, point the inequality symbol the other way.

  7. Solve the equality • 3x – 5 > - 17 • -2x – 4 < x + 5 • Graph the solutions on the number line.

  8. Solve and graph the solution set • 2x + 5 < 17 • 18x + 45 ≥ 12x – 8 • 8(x + 1) ≤ 7(x + 5) + x

  9. Unusual Solutions Sets • 2(x + 4) > 2x + 3 • x + 7 ≤ x - 2

  10. Summary • Inequality Symbols • Inequality Solutions • Solving inequalities

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