Question

Please help answer this

Answer 1

Choice D is correct.

Explanation:

We have given the inequality:

y<= -2x-2

Four graphs are given in the question.

We have to determine that which graph is the graph of the given inequality.

First, we draw the graph of corresponding linear equation

y= -2x-2

the intercepts are (-1,0) and (0,-2).

Mark these two points on the graph and draw a line passing through these point(meet these points).

Check the inequality put (0,0) in the inequality we get,

0<= -2

this is not true so shade the left side of the line this is the graph of inequality.

Choice D is correct.

Answer 2

Option D.

Explanation:

The given inequality is
`y\le -2x-2`.

To graph this inequality, we need to graph the corresponding linear equation;

`y=-2x-2`

The intercepts are
`(0,-2)` and
`(-1,0)`.

Plot these two points and draw a solid straight line through them.

We then test the inequality with the point (0,0).

`0\le -2(0)-2`.

`0\le -2`.

This statement is false.

So we shade the lower half plane to obtain the graph in option D.