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DefinitionsDefinitions

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Stage 5 Stage 5 Year 9Year 9

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Inequations work almost exactly in the same way as ordinary equations.

Instead of having an equals signThey use and inequality sign.

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The inequality signs are . . .

Greater than>

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The inequality signs are . . .

Less than<

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Inequality Signs

The inequality signs are . . .

Greater than or equal to>-

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Inequality Signs

The inequality signs are . . .

Less than or equal to<-

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Inequality Signs

Solve the following inequation

m + 3 > 5-3 -3

m > 2The inequation can be graphed on number

line. -5 -4 -3 -2 -1 0 1 2 3 4 5

Use an open circleas the inequation has no equal sign.

Draw arrow in the directionof the inequality sign.

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Inequality Signs

Solve the following inequation

b - 2 > -5+2 +2

b > -3Graph on number line.

-5 -4 -3 -2 -1 0 1 2 3 4 5

Use an open circle

Draw arrow in the directionof the inequality sign.

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Inequality Signs

Solve the following inequation

4w ≤ 12÷4 ÷4

w ≤ 3Graph on number line.

-5 -4 -3 -2 -1 0 1 2 3 4 5

Use a CLOSED circleBecause of equals sign.

Draw arrow in the directionof the inequality sign.

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Inequality Signs

Solve the following inequation

h ÷ 2 ≥ -1x2 x2

h ≥ -2Graph on number line.

-5 -4 -3 -2 -1 0 1 2 3 4 5

Use an CLOSED circleBecause of equals sign.

Draw arrow in the directionof the inequality sign.

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Solving Inequalities – One Steppers 1

1. k ÷ 4 ≥ 1 x4 x4

2. h + 2 < -1

3. 3p > 6

k ≥ 44

4. m - 2 ≤ -1

5. 7z > 49 6. w ÷ 2 ≥ 9

-2 -2

h < -3-3

÷3 ÷3

p > 22

+2 +2

m ≤ 11

÷7 ÷7

z > 77

x2 x2

w ≥ 1818

Solve and graph the following inequations.

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Solving Inequalities – One Steppers 2

7. b ÷ 6 < 4 x6 x6

8. n + 7 ≥ 9

9. 4p > -24

b < 2424

10. c - 6 ≥ -1

11. 5z ≤ 490

12. w ÷ 5 > 9

-7 -7

n ≥ 22

÷4 ÷4

p > -6 -6

+6 +6

c ≥ 55

÷5 ÷5

z ≤ 9898

x5 x5

w > 4545

Solve and graph the following inequations.

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2b < 10

Solving Inequalities – Two Steppers 1

1. 2b - 6 < 4+6 +6

2. 3n + 7 ≥ 10 3. 4p – 1 > -9

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4. 5c - 6 ≥ 9 5. 7z + 1 ≤ 36

6. 6w - 5 > 7

-7 -7

3n ≥ 3

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+1 +1

4p > -8

-2

+6 +6

5c ≥ 15

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-1 -1

7z ≤ 35

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+5 +5

6w > 12

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÷2 ÷2

b < 5÷3 ÷3

n ≥ 1÷4 ÷4

p > -2

÷5 ÷5

c ≥ 3÷7 ÷7

z ≤ 5÷6 ÷6

w > 2

Solve and graph the following inequations.

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4r > 8

Solving Inequalities – Two Steppers 2

7. 4r - 5 > 3+5 +5

8. 2p + 5 ≤ 13 9. 5p – 1 > -4

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10. 3f - 1 < 8 11. 2z + 1 ≥ 37

12. 4w - 5 ≤ 7

-5 -5

2p ≤ 8

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+1 +1

5p > -5

-1

+1 +1

3f < 9

3

-1 -1

2z ≥ 36

18

+5 +5

4w ≤ 12

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÷4 ÷4

r > 2÷3 ÷3

p ≤ 4÷5 ÷5

p > -1

÷3 ÷3

f < 3÷7 ÷7

z ≥ 18÷6 ÷6

w ≤ 3

Solve and graph the following inequations.

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4w ≤ 16

4w + 20 ≤ 38

z ≥ 6

2z + 2 ≥ 14 2z ≥

123f < 12

3f – 3 < 9

p > 05p > 0

5p - 5 > -53. 5(p – 1) > -52p + 10 ≤

12 2p ≤ 2

4r – 10 > 6

Solving Inequalities – Brackets 1

1. 4(r – 5) > 6

-10 -10

2. 2(p + 5) ≤ 12

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4. 3(f – 1) < 9 5. 2(z + 1) ≥ 14

6. 4(w + 5) ≤ 38 -20

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+5+5

0

+3 +3

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-2 -2

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-20

+5

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÷4 ÷44r > 16

÷2 ÷2

÷5÷5

÷3 ÷3 ÷4 ÷4

r > 4

+10 +10

p ≤ 1

÷2 ÷2

f < 4

w ≤ 4

Solve and graph the following inequations.