On a piece of paper, graph y< x-3. then determine which answer matches
the graph you drew

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

Now, we plot this line on a graph. The given line is of the form:

Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line ,

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now,

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality . The 'y' value is less than . So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.