Linear Inequalities

Above

Below

Yes, they are part of the solution set

No, they are NOT part of the solution set

y ≤ -5/4 x + 3

y ≥ -5/4 x + 3

y < -5/4 x + 3

y > -5/4 x + 3

Yes because it is located in the shaded region.

No because it is located on the line and the line is dotted.

Yes because it is located on the line.

No because it is in the shaded region.

y < 5x + 1

y > 5x + 1

y ≤ 5x + 1

y ≥ 5x + 1

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

y < -x - 5

y > -x - 5

y ≤ -x - 5

y ≥ -x - 5