how can you solve the following system of inequalities by graphing?

y=-3x+2

y > 3
in Algebra 2 Answers by

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y>3 is represented graphically by the area above the line y=3.

Since y>3 for the equation y=-3x+2, -3x+2>3, 2-3>3x, -1>3x, so 3x<-1, x<-⅓.

The algebraic solution is x<-⅓, y<3, but y is dependent on x, and this relationship is represented by a line. But the line is semi-infinite in length. The point (-⅓,3) is not on the line, and this point is the lower limit of the length of the line. x∈(-∞,-⅓) and y∈(3,∞) where y=-3x+2. The graph below illustrates the solution. The shaded area represents y>3 and the red line y=-3x+2. The solution is represented by that portion of the red line to the left of the intersection with the dotted line y=3.

Picture by courtesy of Desmos.

by Top Rated User (1.2m points)

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