Question

Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane. y > 2x + 4 x + y ≤ 6

Answer 1

Answer:  It will help to rewrite the second inequality in slope-intercept form.  y ≤ -x + 6

Make a chart. Make a list of x values , like  -1, 0,3 and put them in the inequalities and solve each to get y values.  Plot the points.  Using 0 as one of the x-values gives you the y-intercept.

For the first inequality, select the dashed line and connect the points. Select the Shaded Region and shade above the dashed line.

For the second inequality, select the line and connect the points. Shade below the solid line

Step-by-step explanation:

your chart for the first inequality y > 2x + 4  

x .  y

-1 .  2

0 .  4

3 .  10

x + y ≤ 6

-1 .  7

0 . 4

3 .  3    

The finished graph should look something like the attachment

Answer 2

Answer:

Graph is attached.

Step-by-step explanation:

We are to graph the following inequalities:

y > 2x + 4 ... (i)

x + y ≤ 6 ... (ii)

We can graph these inequalities on an online graphing calculator but its recommended that you graph them on your physical graph book.

Your graph is attached below. The shaded region is the required part.