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Graph the inequality on the axes below.
y> 3x - 3

User Sushmit
by
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1 Answer

3 votes

Explanation:

think of graphing inequalities as graphing with an extra step of shading the correct area.

what we first need to do is to graph


y = 3x - 3

and to do this we find two points on the line. when x=0, we have y=-3 and when x=1, we have y=0. so we have two points (0, -3) and (1, 0) and we can sketch the line.

however, the inequality sign > means that y must be greater than 3x-3 and so the line 3x-3 isn't part of the shaded portion. to denote this, we use a broken line to show that 3x-3 is not part of the shaded bit. this also means that every y value has to be greater than the y-value of the line, and so we shade the portion above the line.

the image shows what the graph should look like.

Graph the inequality on the axes below. y> 3x - 3-example-1
User Timofey Goncharov
by
7.1k points