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Objective The student will be able to:. solve two-step inequalities. SOL: A.5abc. Designed by Skip Tyler, Varina High School. o. 3. 4. 5. 1) Solve 5m - 8 > 12. + 8 + 8 5m > 20 5 5 m > 4 5( 4 ) – 8 = 12. Draw “the river” Add 8 to both sides

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objective the student will be able to

ObjectiveThe student will be able to:

solve two-step inequalities.

SOL: A.5abc

Designed by Skip Tyler, Varina High School

1 solve 5m 8 12

o

3

4

5

1) Solve 5m - 8 > 12

+ 8 + 8

5m > 20

5 5

m > 4

5(4) – 8 = 12

  • Draw “the river”
  • Add 8 to both sides
  • Simplify
  • Divide both sides by 5
  • Simplify
  • Check your answer
  • Graph the solution
2 solve 12 3a 18

o

-3

-2

-1

2) Solve 12 - 3a > 18

- 12 - 12

-3a > 6

-3 -3

a < -2

12 - 3(-2) = 18

  • Draw “the river”
  • Subtract 12 from both sides
  • Simplify
  • Divide both sides by -3
  • Simplify (Switch the inequality!)
  • Check your answer
  • Graph the solution
3 solve 5m 4 2m 11

o

4

5

6

3) Solve 5m - 4 < 2m + 11

-2m -2m

3m - 4 < 11

+ 4 + 4

3m < 15

3 3

m < 5

5(5) – 4 = 2(5) + 11

  • Draw “the river”
  • Subtract 2m from both sides
  • Simplify
  • Add 4 to both sides
  • Simplify
  • Divide both sides by 3
  • Simplify
  • Check your answer
  • Graph the solution
4 solve 2r 18 5r 3

-8

-7

-6

4) Solve 2r - 18 ≤ 5r + 3

-2r -2r

-18 ≤ 3r + 3

- 3 - 3

-21 ≤ 3r

3 3

-7 ≤ r or r ≥ -7

2(-7) – 18 = 5(-7) + 3

  • Draw “the river”
  • Subtract 2r from both sides
  • Simplify
  • Subtract 3 from both sides
  • Simplify
  • Divide both sides by 3
  • Simplify
  • Check your answer
  • Graph the solution
6 solve 2x 6 3x 4

Answer Now

6) Solve -2x + 6 ≥ 3x - 4
  • x ≥ -2
  • x ≤ -2
  • x ≥ 2
  • x ≤ 2
5 solve 26p 20 14p 64

o

6

7

8

-14p -14p

12p – 20 > 64

+ 20 + 20

12p > 84

12 12

p > 7

26(7) – 20 = 14(7) + 64

  • Draw “the river”
  • Subtract 14p from both sides
  • Simplify
  • Add 20 to both sides
  • Simplify
  • Divide both sides by 12
  • Simplify
  • Check your answer
  • Graph the solution

5) Solve 26p - 20 > 14p + 64