Question

Which inequality will have a shaded area above its graph? a. 2x − y ≥ 4 b. 4x + 3y < 6 c. x − 9y ≤ 1 d. x − 3y > 4

Answer 1

c) x − 9y ≤ 1 have shaded area above of graph.

Explanation:

Given : a. 2x − y ≥ 4

b. 4x + 3y < 6

c. x − 9y ≤ 1

d. x − 3y > 4

To find : Which inequality will have a shaded area above its graph.

Solution : x -9y ≤ 1

Now we will solve for y

On subtracting by x both side

-9y ≤ 1 -x

On dividing by -9 both sides

y ≥
`(1-x)/(-9)`.

As we now that Shade above the line of graph for a "greater than" (y> or y≥)

Therefore, c) x − 9y ≤ 1 have shaded area above of graph.

Answer 2

c. x − 9y ≤ 1 is the inequality having a shaded area above its graph.The line separating the shaded part will be a solid line as the inequality involves equals to sign.
See the attachment for the graph.