Question

On a piece of paper, graph y+4<1/2x-2. Then determine which answer choice matches the graph you drew.

Answer 1

Answer: Graph D

Explanation:

in slope intercept form, the equation is y</= 1/2x-6

Since it's </=, the line is solid instead of dashed

Answer 2

The graph that matches the inequality is:

Graph D

Explanation:

We are given a inequality as:

`y+4\leq (1)/(2)x-2`

i.e. it could also be represented in the form:

`y\leq (1)/(2)x-2-4\\\\i.e.\\\\y\leq (1)/(2)x-6`

The graph of this inequality is a straight solid line ( since the inequality is not strict i.e. it is a inequality with a equality sign) that passes through (0,-6) and (12,0) .It also passes through (4,-4) and the shaded region is away from the origin.

Hence, the graph which satisfies all the above property is:

Graph D