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Students will be able to: Solve inequalities that contain variable terms on both sides.

Learning Target. Students will be able to: Solve inequalities that contain variable terms on both sides. –8. –10. –6. –4. 0. 2. 4. 6. 8. 10. –2. 4. 5. 6. Solve the inequality and graph the solutions. y ≤ 4 y + 18. 4 m – 3 < 2 m + 6. –8. –10. –6. –4. 0. 2. 4. 6. 8.

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Students will be able to: Solve inequalities that contain variable terms on both sides.

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  1. Learning Target Students will be able to: Solve inequalities that contain variable terms on both sides.

  2. –8 –10 –6 –4 0 2 4 6 8 10 –2 4 5 6 Solve the inequality and graph the solutions. y ≤ 4y + 18 4m – 3 < 2m + 6

  3. –8 –10 –6 –4 0 2 4 6 8 10 –2 Solve the inequality and graph the solutions. 4x ≥ 7x + 6

  4. The Home Cleaning Company charges $312 to power-wash the siding of a house plus $12 for each window. Power Clean charges $36 per window, and the price includes power-washing the siding. How many windows must a house have to make the total cost from The Home Cleaning Company less expensive than Power Clean? 13 < w The Home Cleaning Company is less expensive for houses with more than 13 windows.

  5. –12 –9 –6 –3 0 3 Solve the inequality and graph the solutions. 2(k – 3) > 6 + 3k – 3

  6. –4 –1 5 –3 –2 0 1 2 3 4 –5 Solve the inequality and graph the solution. 0.9y ≥ 0.4y – 0.5

  7. –4 –1 5 –3 –2 0 1 2 3 4 –5 Solve the inequality and graph the solutions. 0.5x – 0.3 + 1.9x < 0.3x + 6

  8. There are special cases of inequalities called identities and contradictions.

  9. Solve the inequality. 2x – 7 ≤ 5 + 2x The inequality 2x − 7 ≤ 5 + 2x is an identity. All values of x make the inequality true. Therefore, all real numbers are solutions.

  10. Solve the inequality. 2(3y – 2) – 4 ≥ 3(2y + 7) No values of y make the inequality true. There are no solutions. HW pp.197-199/20-38,40-48even,49-51,56-66,73-76

  11. –4 –3 –2 –1 –5 –6 0 Warm Up Solve each equation. 1. 2x = 7x + 15 2. x = –3 3y – 21 = 4 – 2y y = 5 z = –1 3. 2(3z + 1) = –2(z + 3) 4. 3(p –1) = 3p + 2 no solution b < –3 5. Solve and graph 5(2 –b) > 52.

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