Question

Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include the test point (0,0)?

Answer 1

Yes it does include the test point (0, 0)

• equation:  y > -3x -5

Find y-intercept:

• y > -3(0) -5

• y > -5

Find x-intercept:

• y > -3x -5

switch sides

• -3x - 5 < 0

• -3x < 5

Multiply both sides by -1 reverses the inequality

• x > -5/3

Thus, the following (0, 0) comes under the following x > -5/3 and y > -5