Question

B. Check if each of these points is a solution to

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.