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6x - 2y greater than or equal to negative 2

User ASk
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1 Answer

5 votes

Answer:

Explanation:

Rewrite this symbolically as 6x - 2y ≥ -2.

Recognize that 2 is a factor of every term here, and that you can therefore reduce the inequality to 3x - y ≥ -1

If we temporarily replace the ≥ sign with the = sign, we get 3x - y = -1, which in turn can be solved for y: y = 3x + 1

Graph this line as a solid line, because of the ≥ symbol. The y intercept is (0, 1) and the slope of the line is 3.

Points (x, y) that satisfy the given inequality lie ON OR BELOW this solid line.

User John Glen
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