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]