Final Answer:
The solution regions are:
1) The area below the line $ y = 2x - 1 $ and on or above the line $ y = x - 4 $, including the boundary of $ y = x - 4 $ but not $ y = 2x - 1 $.
2) The area above the line $ y = -5x - 1 $ and on or below the line $ y = \frac{1}{2}x - 1 $, including both boundaries.
3) The region where $ y \ge 2 $ and $ x \le 4 $ — the upper-right quadrant bounded by horizontal line $ y = 2 $ (included) and vertical line $ x = 4 $ (included).
4) The area below the line $ y = 4x + 4 $ and on or above the line $ y = -2x + 5 $, including the boundary of $ y = -2x + 5 $ but not $ y = 4x + 4 $.
Parent Tip: Review the logic above to help your child master the concept of systems inequalities worksheet.
