Question

Represent this situation in a graph. Larry's evening is spent reading and watching TV. He can spend no more than 4 hours total on these activities, and he wants to spend more time reading than watching TV.

Answer 1

Let the time Larry spend reading be x and the time he spend watching TV be y. Then
x + y ≤ 4 . . . (1)
x ≥ y . . . (2)

The graph represents two straight lines with one line passing through points (0, 4) and (4, 0) and the other one passing through points (0, 0) and (2, 2). The two lines intersects at point (2, 2) with the portion of the graph bounded by the x-axis shaded.