Graph the system of inequalities. Identify the solution region. y ≥ x + 2 y ≥ 2x – 1

Question

Graph the system of inequalities. Identify the solution region. y ≥ x + 2 y ≥ 2x – 1

Answer 1

Break into two equations:

Equation 1 is line going downhill with slope of -1 with function values meeting the inequality UNDER the line.

Equation 2 is line going uphill with slope of 1/2 with function values meeting the inequality UNDER the line.

Solutions to both equations are represented by the overlap (slightly darker region).