Please help!!

Question

Graph the solution set for the system of linear inequalities.

 

x-y≤ 3

 

x+3y≤3

 

x≥-2

Answer 1

treat all the 3 as equal signs

graph them as dark lines, to indicate the solution includes the lines themselves.

x=-2 is a vertical line

the other two are upward and downward sloping lines that intersect at (3,0)

the solution set is all points below y=x-3 and above y= -x/3+ 1

It's right triangle with the 90 degree angle at (3,0)

Its area is height times base over 2 = bh/2 = (5+ 5/3)(5)/2 = 20/3 x 5/2 = 10/3x5 = 50/3 = 16 2/3

left side is a vertical line x=-2 from (-2, 5/3) to (-2, -5)

the 3rd vertex is (3,0) Every point within that triangle formed by those 3 vertices is the solution set of the 3 inequality/equations.