20 PTS & BRAINLIEST TO CORRECT ANSWER!!!!

Which system of linear inequalities is represented by the graph?

A. y > x + 3 and y < x + 2
B. y > x + 3 and y < x + 2
C. y > x + 3 and y > x + 2
D. y > x + 3 and y > x + 2

20 PTS amp BRAINLIEST TO CORRECT ANSWER Which system of linear inequalities is represented by the graph A y gt x 3 and y lt x 2 B y gt x 3 and y lt x 2 C y gt x class=

Respuesta :

for the equation y - x < 0,y < xThe shaded portion will be under the dashed line joining points (-2, -2) and (3, 3).
for the equation x - 1 > 0,x > 1The shaded portion will be to the right of the dashed line joining points (1, 5) and (1, -3).
The portion affected by the two shadings will be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).Therefore the correct answer is option c. 

Answer:

[tex]y>x+3[/tex] and [tex]y\leq x+2[/tex]

Step-by-step explanation:

Step 1

Find the equation of the inequality A (dashed line)

we know that

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is [tex]y=x+3[/tex]

therefore

The equation of the inequality A is [tex]y>x+3[/tex]

Step 2

Find the equation of the inequality B (solid line)

we know that

The solution of the inequality B is the shaded area below the solid line

The equation of the solid line is [tex]y=x+2[/tex]

therefore

The equation of the inequality B is [tex]y\leq x+2[/tex]

hence

The system of inequalities is equal to

[tex]y>x+3[/tex] and [tex]y\leq x+2[/tex]