4x - 2y ≤ 6 subtract 4x from both sides
-2y ≤ -4x + 6 change the signs
2y ≥ 4x - 6 divide both sides by 2
y ≥ 2x - 3
y = 2x - 3 - it's a linear function. We need only two points to plot the graph.
Choose any two values of x and calculate the values of y:
for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)
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<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded to left
>, ≥ - shaded to right