Answer:
Step-by-step explanation:
[tex]6x+2y>-10\qquad\text{subtract 6x from both sides}\\\\2y>-6x-10\qquad\text{divide both sides by 2}\\\\y>-3x-5[/tex]
Change the inequality symbol to the symbol of equation.
[tex]y=-3x-5[/tex]
Choice any two values of x and calculate the values of y:
for x = 0
[tex]y=-3(0)-5=0-5=-5\to(0,\ -5)[/tex]
for x = -2
[tex]y=-3(-2)-5=6-5=1\to(-2,\ 1)[/tex]
Draw the line passing through the given points.
If is < or >, then plot the dot line.
If is ≤ or ≥, then plot the solid line.
We have the sign of an inequality ">". Therefore plot a dot line.
Now shading.
If is < or ≤, then shading to the left.
If is > or ≥, then shading to the right.
We have the sign of an inequality ">'. Therefore shading to the right.
