System of Inequalities Worksheet

Solutions

Solve the System of Inequalities

1System of Inequalities Exercise

2System of Inequalities Exercise

3System of Inequalities Exercise

4System of Inequalities Exercise

5System of Inequalities Exercise

6System of Inequalities Exercise

7System of Inequalities Exercise

8System of Inequalities Exercise

1

System of Inequalities Exercise

2x + y = 3

x = 0;     2 · 0 + y = 3;   y = 3;          (0, 3)

x = 1;     2 · 1 + y = 3;   y = 1;          (1, 1)

System of Inequalities Graph

2x + y ≤ 3

2 · 0 + 0 ≤ 3       0 ≤ 3      Yes

System of Inequalities Graph

x + y = 1

x = 0;      0 + y = 1;   y = 1;          (0, 1)

x = 1;      1 + y = 1;   y = 0;          (1, 0)

System of Inequalities Graph;

x + y ≥ 1

0 + 0 ≥ 1      No

System of Inequalities Graph

System of Inequalities Graph

2

System of Inequalities Exercise

x = 4

y = 2

System of Inequalities Graph

System of Inequalities Exercise

x + y = 0        (0, 0)     (1, -1)

2 + 2 ≥ 0

System of Inequalities Graph

2x − y = 0      (0, 0)     (1, 2)

2 ·2 − 2 ≥ 0

System of Inequalities Graph

System of Inequalities Graph

System of Inequalities Exercise

x + y = 0        (0, 0)     (1, -1)

2 + 2 ≥ 0

System of Inequalities Graph

2x − y = 0      (0, 0)     (1, 2)

2 ·2 − 2 ≥ 0

System of Inequalities Graph

2 ≤ 6

     System of Inequalities Graph

System of Inequalities Graph

System of Inequalities Exercise

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Graph

[−1, 3]

6

System of Inequalities Exercise

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Graph

(3, ∞)

System of Inequalities Exercise

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Graph

No solution.

8

System of Inequalities Exercise

(x +1) · 10 + x ≤ 6 (2x + 1)

10x + 10 + x ≤ 12 x + 6

10 x + x - 12x ≤ 6 - 10

−x − 4       x ≥ 4

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Operations

System of Inequalities Graph

[4, 7)