Mathematics: Which shows the graph of the solution set of y x – 2?

Which shows the graph of the solution set of y x

fernandoramirez086

07.01.2022

case A)

If the inequality is

y< x-2 ------> inequality

we know that

The solution of the inequality is the shaded area below the dotted line

The equation of the line is y= x-2

The slope is positive and equal to m=1

The x-intercept is the point (2,0) -----> the value of x when the value of y is equal to zero

The y-intercept is the point (0,-2) -----> the value of y when the value of x is equal to zero

therefore

the answer in the attached figure N 1

case B)

If the inequality is

$y< \frac{1}{3} x-2$ ------> inequality

we know that

The solution of the inequality is the shaded area below the dotted line

The equation of the line is $y=\frac{1}{3}x-2$

The slope is positive and equal to $m=\frac{1}{3}$

The x-intercept is the point (6,0) -----> the value of x when the value of y is equal to zero

The y-intercept is the point (0,-2) -----> the value of y when the value of x is equal to zero

therefore

the answer in the attached figure N 2

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