Objective The student will be able to:

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Objective The student will be able to: - PowerPoint PPT Presentation

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 &gt; 12. + 8 + 8 5m &gt; 20 5 5 m &gt; 4 5( 4 ) – 8 = 12. Draw “the river” Add 8 to both sides

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ObjectiveThe 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
• Simplify
• Divide both sides by 5
• Simplify
• Graph the solution

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!)
• Graph the solution

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
• Graph the solution

-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
• Graph the solution

6) Solve -2x + 6 ≥ 3x - 4
• x ≥ -2
• x ≤ -2
• x ≥ 2
• x ≤ 2

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