Question

5.5 solving systems of linear inequalities quiz

which point below is not part of the solution set?

(5, 1)
(-2, -3)
(0, 0)
(1, -2)

Explanation:

Identify the shaded region

Using the Linear Inequalities knowledge point

$$ \text{Shaded region: } x \ge -1 \text{ or similar half-plane to the right of the dashed boundary line } y = 4x + 2. $$

Test the point (5, 1)

Using the Systems of Linear Inequalities knowledge point

$$ (5, 1) \text{ lies deep inside the shaded region on the right.} $$

Test the point (-2, -3)

Using the Linear Inequalities knowledge point

$$ (-2, -3) \text{ lies to the left of the dashed boundary line, in the unshaded region.} $$

Test the point (0, 0)

Using the Systems of Linear Inequalities knowledge point

$$ (0, 0) \text{ lies inside the shaded region.} $$

Test the point (1, -2)

Using the Linear Inequalities knowledge point

$$ (1, -2) \text{ lies inside the shaded region.} $$

Answer:

• (A) (5, 1)
• (B) (-2, -3) (Correct answer)
• (C) (0, 0)
• (D) (1, -2)