Question

Algebra 1 Question - Will give medals!

Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≥ −1?

Part A
Part B
Part C
Part D

Answer 1

y > = x + 1......slope is 1, y int is (0,1)....greater then means shaded above the line...the solutions to this line will be in either A or B

y + x > = -1
y >= -x - 1.....slope is -1, y int is (0,-1)....greater then means shaded above the line...the solutions to this line will be in either A or D.

Therefore, the common solution will be in A.

you can check them by subbing in a set of points only found in A...and if it makes both inequalities true, then it is found in the solution area.
y >= x + 1.......(0,3) <== set of points found only in A
3 >= 0 + 1
3 >= 1.....this is true

y >= -x - 1.....(0,3)
3 >= 0 - 1
3 > -1.....this is true

that means (0,3) is a point in the solution area.

Answer 2

Wow, thanks a bunch! I understand it more now :) Enjoy your medal