Question

Greg is trying to solve a puzzle where he has to figure out two numbers, x and y. Three less than two-third of x is greater than or equal to y. Also, the sum of y and two-third of x is less than 4. Which graph represents the possible solutions?

Answer 1

The first inequality is
(2/3)x - 3 ≥ y
or 
y ≤ (2/3)x - 3           (1)

The second inequality is
y + (2/3)x < 4
or
y < 4 - (2/3)x           (2)

A graph of the two inequalities indicates the solution as a shaded region in the figure below.