Which graph best describes the solution to this set of inequalities?

x + y ≤ 6

x + 2y ≤ 8

x + y ≤ 6

x + 2y ≤ 8

To graph x + y ≤ 6y ≤ -x + 6 {got in "slope-intercept form"} Graph the boundary line y = -x + 6 - put a point on 6 on the y-axis {the y-intercept} - from there, move down 1 and right 1 and put another point down - draw a solid line through the two points - shade down on the y-axis because of the ≤ sign To graph x + 2y ≤ 82y ≤ -x + 8 {subtracted x from each side} y ≤ (-1/2)x + 4 {divided each side by 2} Graph the boundary line y = (-1/2)x + 4 - put a point on the y-intercept, 4 - from there, move down 1 and right 2 and put another point down - draw a solid line through the two points - shade down on the y-axis because of the ≤ sign The overlap of the two graphs is the solution set. Answer is D.)- Algebra House |