Question

50 Points! Please only answer if you know! Thank you.

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.

Answer 1

• See below

Explanation:

A) 3x - 9y > 27

x- intercept at y = 0 is:

• 3x = 27
• x = 9

y-intercept at x = 0 is:

• - 9y = 27
• y = -3

Connect the two points (9, 0) and (0, -3) with dotted line (because of <) and shade below line (because y < ).

B) (y-3) ≤ -4/3 (x+7)

Use one point from the equation:

• (-7, 3)

Find the second point using the slope - 4/3, add 3 to x and - 4 to y:

• x = -7 + 3 = - 4
• y = 3 - 4 = - 1

Connect these two points (-7, 3) and (-4, -1) with solid line (because of ≤ ).

Shade the area below the line (because y ≤ ).