How do you graph the inequality of 4x-2y≤6 ?

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 - 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