Question

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded.

The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?

(2, 3)
(3, –2)
(2, 1)
(–1, 3)

Answer 1

Answer: y ≤ 2x – 1

Explanation:

Answer 2

(3,-2)

Explanation:

we know that

If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality

we have

`y \leq -x+1`

Verify each case

case A) (2, 3)

`3 \leq -2+1`

`3 \leq -1` ----> is not true

therefore

The ordered pair is not a solution

case B) (3,-2)

`-2 \leq -3+1`

`-2 \leq -2` ----> is true

therefore

The ordered pair is solution

case C) (2,1)

`1 \leq -2+1`

`1 \leq -1` ----> is not true

therefore

The ordered pair is not solution

case D) (-1,3)

`3 \leq 1+1`

`3 \leq 2` ----> is not true

therefore

The ordered pair is not solution