Question

the following graph represents an inequality. select the ordered pairs which are solutions to it. show your work here. (1,4) (2, - 7) (-4,14) (-1, - 6) (0,0) (-2,2)

Explanation:

Step1: Identify the solution - region

The shaded area on the graph represents the solution - region of the inequality. Points within this region are solutions.

Step2: Check each ordered pair

• For the point $(1,4)$: Locate $x = 1$ and $y = 4$ on the coordinate - plane. This point is not in the shaded region.
• For the point $(2, - 7)$: Locate $x = 2$ and $y=-7$. This point is in the shaded region.
• For the point $(-4,14)$: Locate $x=-4$ and $y = 14$. This point is in the shaded region.
• For the point $(-1,-6)$: Locate $x=-1$ and $y=-6$. This point is in the shaded region.
• For the point $(0,0)$: Locate $x = 0$ and $y = 0$. This point is not in the shaded region.
• For the point $(-2,2)$: Locate $x=-2$ and $y = 2$. This point is in the shaded region.

Answer:

$(2, - 7),(-4,14),(-1,-6),(-2,2)$