Question

Which inequality will have a shaded area below the boundary line?

A y-x>5
B. 2x-3y< 3
C. 2x-3y
D. 7x+ 2y<2
E. 3x+4y> 12

Answer 1

D. 2y < 2

Explanation:

To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives

+y < ( a constant)

We can leave out the x term for this.

For example:

A. y>5 clearly it is shaded above the line (because of the > sign)

B. -3y <3 => 3y > -3 so again it is shaded above

C. -3y is not even an inequality

D. 2y < 2 clearly it is shaded BELOW

E. 4y >12 clearly it is shaded above

See also attached diagram. The answer is represented by the purple area. All the other areas are shaded above the boundary line.