1 / 40

Solving Inequalities

Solving Inequalities. Algebra 1. Solving inequalities is similar to solving linear equations (ex. 2x+2=4), except for one small but important detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative number. Examples -2x=4, answer: x=-2

lazar
Download Presentation

Solving Inequalities

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Solving Inequalities Algebra 1

  2. Solving inequalities is similar to solving linear equations (ex. 2x+2=4), except for one small but important detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative number. • Examples • -2x=4, answer: x=-2 • -2x≥4, answer: x≤-2

  3. Remember: ~The opposite of addition is subtraction ~The opposite of subtraction is addition ~The opposite of multiplication is division ~The opposite of division is multiplication ~When multiplying or dividing by a negative number, the sign of the inequality switches

  4. Please complete the following questions for homework tomorrow.

  5. Solve. m - 3 < 6

  6. Answer: m<9~add 3 to both sides

  7. Solve. 3 + a < 6

  8. Answer: a<3~subtract 3 from both sides

  9. Solve. -2 > x - 3

  10. Answer: x<1 ~add 3 to both sides

  11. Solve. t + (-3) > -4

  12. Answer: t >-1 ~Add 3 to both sides

  13. Solve. 3 + y < -2

  14. Answer: y<-5 ~Subtract 3 from both sides

  15. Solve. 2x < -8

  16. Answer: t<-4 ~Divide 2 from each side

  17. Solve. 12 > 6k

  18. Answer: k<2 ~Divide by 6 on both sides

  19. Solve.

  20. Answer: a>6~Multiply by -3 on both sides, flip the inequality sign

  21. Simplify.

  22. Answer: a>-10~Multiply each side by 5, then divide each side by 2

  23. Solve.

  24. Answer: a<-9~Multiply each side by 3, then divide each side by -2, switch the inequality sign because we are dividing by a negative number

  25. Solve. 3x - 1 > 5

  26. Answer: x>2~Subtract 1 from each side, then divide each side by 3

  27. Solve. -2n + 3 < 7

  28. Answer: n>-2Subtract 3 from each side then divide each side by a -2, switch the inequality sign because we are dividing by a negative number

  29. Solve. 8 < 2 - 3r

  30. Answer: r<-2~Subtract 2 from each side then divide by -3, switch the inequality sign because we are dividing by a negative number

  31. Solve.

  32. Answer: x<-3~Subtract 1 from each side, then multiply each side by -3, switch the inequality sign because we are multiplying by a negative number

  33. Solve.

  34. Answer: x<-7Multiply each side by 5, then subtract 2 from each side

  35. Write an inequality: A number is greater than -3.

  36. Answer: n<-3

  37. Write an inequality: 2 less than a number is less than 9.

  38. Answer: n-2<9

  39. Helpful Websites • http://www.youtube.com/watch?v=VgDe_D8ojxw • http://www.mathsisfun.com/algebra/inequality-solving.html • http://www.webmath.com/solverineq.html

  40. SOL Regulations • A.5 The student will solve multistep linear inequalities in two variables, including • a) solving multistep linear inequalities algebraically and graphically; • b) justifying steps used in solving inequalities, using axioms of inequality and • properties of order that are valid for the set of real numbers and its subsets; • c) solving real-world problems involving inequalities; and • d) solving systems of inequalities.

More Related