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Solving Equations
Inequalities
Compound Inequalites
AND
Compound Inequalities
OR
How Many Solutions?
100

2x + 3x = 25

x = 5

100

4p - 18 ≤ -2

p ≤ 4

100

7 > g – 9 ≥ 5

16 > g ≥ 14

100

y – 14 ≥ –1 or y – 11 ≤ –6


y ≥ 13 or y ≤ 5

100

3x + 2 = 14

x = 4

1 Solution

200

-3(-13 + j) = -6

j = 15

200

4x - 5 < -8x + 19 

x < 2

200

4 < b – 11 ≤ 7

15 < b ≤ 18


200

y + 19 < 19 or y + 2 ≥ 18

y < 0 or  y ≥ 16

200

2x + 6 + 3x - 4 = 7x + 10 - 2x - 8

2 = 2

Infinitely Many Solutions

300

1 + 5v - 9 - v = 0

v = 2

300

-4 (2x - 2) ≥ 4x - 4

x ≤ 1

300

7 > 13a – 6 ≥ – 19


1 > a ≥ – 1


300

2f – 3 > 13 or 3f + 1 ≤ 16

f > 8 or  f ≤ 5

300

6x - 4 + 2x = - 8 + 3 + 8x

-4 ≠ -5

No Solutions

400

4 (-13 + c) + 2 = 18

c = 17

400

8x - 2x + 3 < 5x + 4

x < 1

400

16 ≥ 3q + 7 ≥ 13

3 ≥ q ≥ 2


400

4w + 13 ≤ 9 or 13w + 17 ≥ 17

w ≤ – 1 or w ≥ 0

400

-7x + 9 ≥ 9 - 7x

9 ≥ 9

Infinitely Many Solutions

500

-20 - 10c = 2(9c + 19) - 2

c = -2

500

6(x - 3) - 2 ≥ 4x + 4(x - 1)

x ≤ -8

500
–3 < 2v + 15 ≤ 1
–9 < v ≤ –7


500

c + 4 < –8 or 2c – 7 ≥ – 13


c < –12 or c ≥ –3


500

7p − 11p - 5 ≥ 3 − 4p

- 5 ≥ 3

No Solutions