garyjavonngilbert
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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)

Respuesta :

calculista

Answer:

(3,-2)

Step-by-step explanation:

we know that

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

we have

[tex]y \leq -x+1[/tex]

Verify each case

case A) (2, 3)

[tex]3 \leq -2+1[/tex]

[tex]3 \leq -1[/tex] ----> is not true

therefore

The ordered pair is not a solution

case B) (3,-2)

[tex]-2 \leq -3+1[/tex]

[tex]-2 \leq -2[/tex] ----> is  true

therefore

The ordered pair is solution

case C) (2,1)

[tex]1 \leq -2+1[/tex]

[tex]1 \leq -1[/tex] ----> is not  true

therefore

The ordered pair is not solution

case D) (-1,3)

[tex]3 \leq 1+1[/tex]

[tex]3 \leq 2[/tex] ----> is not  true

therefore

The ordered pair is not solution

Answer: y ≤ 2x – 1

Step-by-step explanation:

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