Question

HELP ASAP!!!!!!!!!!!

Answer 1

C

Explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer 2

C

Explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

`y<(1)/(2)x-4`

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)