EDGE Math 8

Graph each system of linear inequalities on a graphing paper. Then choose the ordered pair(s) that is a (are) solution(s) to the system. Note that certain items may have more than one answer.

1.	${\begin{array}{l} 2 x + 3 y \leq 6 \\ 2 x + 3 y \geq 6 \end{array}$

(0, 0)

(1, 2)

(3, −4)

(6, −2)

(−3, 4)

none of the choices

Answer: (6, −2), (−3, 4)

2.	${\begin{array}{l} x + y > 4 \\ x + y < 4 \end{array}$

(0, 0)

(4, 0)

(0, 4)

(2, 2)

(7, −3)

none of the choices

Answer: none of the choices

3.	${\begin{array}{l} x + 2 y \leq 6 \\ x \geq - 3 \\ y \geq 1 \end{array}$

(0, 0)

(−2, 3)

(3, 1)

(−3, −2)

(−4, 5)

none of the choices

Answer: (−2, 3), (3, 1)

4.	${\begin{array}{l} x + y < 2 \\ - x + y < - 2 \\ x \geq 0 \end{array}$

(0, 0)

(0, −3)

(\frac{1}{2}, 1)

(\frac{1}{2}, - 1)

(\frac{3}{2}, 0)

none of the choices

Answer: (0, 0), $(\frac{1}{2}, 1)$ , $(\frac{1}{2}, - 1)$ , $(\frac{3}{2}, 0)$

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