Question

b. Check if each of these points is a solution to
the inequality 2y - x> 1:
(0, 2) (8,1/2) (-6, 3) (-7,-3)
8,
c. Shade the region that represents the solution set to the inequality
2y - x > 1.
d. Are the points on the line included in the solution set? Explain how you
know.

Answer 1

Answer:

Step-by-step explanation:

b.

(0,2)

2y - x > 1

2(2) - 0 > 1

4 - 0 > 1

true, (0,2) is a solution to the inequality

(8,1/2)

2y - x > 1

2(1/2) - 8 > 1

1 - 8 > 1

-7 > 1

false, (8,1/2) is not a solution to the inequality

(-6,3)

2y - x > 1

2(3) - (-6) > 1

6 + 6 > 1

12 > 1

true, (0,2) is a solution to the inequality

(-7,-3)

2y - x > 1

2(-3) - (-7) > 1

-6 + 7 > 1

1 > 1

false, (8,1/2) is not a solution to the inequality

(1 is not greater than one, but equal. since the inequality is not "greater than or equal to", this equation is false)

c.  the top half should be shaded

d. no, because the inequality is >, not >=. therefore, the points on the line are not included in the solution set.