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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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