MATH SOLVE

4 months ago

Q:
# Which inequality pairs with y_<-2-1 to complete the system of linear inequalities represented by the graph

Accepted Solution

A:

Answer:[tex]y > -2x+2[/tex]Step-by-step explanation:we know thatThe solution of the inequality of the dotted red line is the shaded area above the dotted lineThe dotted red line is parallel to the solid gray lineThe equation of the solid gray line is equal to [tex]y=-2x-1[/tex] ----> given lineThe slope of the solid gray line is m=-2Remember that If two lines are parallel, then their slopes are the samethereforeThe slope of the dotted red line is m=-2The y-intercept of the dotted red line is b=2Find the equation of the dotted red line in slope intercept form[tex]y=mx+b[/tex]we have[tex]m=-2\\ b=2[/tex]substitute[tex]y=-2x+2[/tex]Remember that the solution is the shaded area above the dotted red linetherefore[tex]y > -2x+2[/tex]