Question

Tell whether the ordered pair is a solution of the given inequality

(1,6); y
————————
(5,-3);y (less then or equal to) -x+2

Answer 1

Both work

Explanation:

I attached an image of the work proving it. I hope this helps you with your assignment!

Answer 2

Yes, Yes

Explanation:

(81)

y < x + 6

given the point (1, 6 )

substitute x = 1, y = 6 into the inequality and compare both sides

6 < 1 + 6 , that is

6 < 7 ← True

thus (1, 6 ) is a solution of the inequality

(82)

y ≤ - x + 2

given the point (5, - 3 )

substitute x = 5, y = - 3 and compare both sides

- 3 ≤ - 5 + 2 , that is

- 3 ≤ - 3 ← True

thus (5, - 3 ) is a solution of the inequality