Question

HELP! 20 POINTS FOR WALK THROUGH AND ANSWER!!!

Graph the system of inequalities on your paper. Please provide only one ordered pair (x, y) that will work for both system of inequalities.

To earn full credit you must prove your answer by substituting the (x, y) order pair into both inequalities. Show all work for each inequality.

y < 4x + 3
y > -3x - 3

Answer 1

One ordered pair that works is (1,5).

First equation:
5<4(1)+3; 5<4+3; 5<7 This is true

Second equation:
5>-3(1)-3; 5>-3-3; 5>-6 This is also true.

Answer 2

y < 4x + 3....this will be a dashed line with shading under the line
slope = 4....y int = (0,3)....x int = (-3/4,0)

y > -3x - 3...this will be a dashed line with shading above the line
slope = -3....y int = (0,-3)...x int = (-1,0)

** u can go to desmos calculator to see the graph


one solution is (0,0)
y < 4x + 3...subbing in (0,0)
0 < 4(0) + 3
0 < 3 (correct)

y > -3x - 3...subbing in (0,0)
0 > -3(0) - 3
0 > -3 (correct)