The graph of 3x + 4y = −1 is shown on the grid. Which ordered pair is in the solution set of 3x + 4y ≤ −1?
A) (2, 6)
B) (6, 2)
C) (2, −6)
D) (−2, 6)

The graph of 3x 4y 1 is shown on the grid Which ordered pair is in the solution set of 3x 4y 1 A 2 6 B 6 2 C 2 6 D 2 6 class=

Respuesta :

Answer:

Step-by-step explanation:

this is just a matter of subbing ur answer choices in to ur inequality to see which one is correct.....either that, or graph it and see which point lies in the graph.

3x + 4y < = -1

A. 3(2) + 4(6) < = -1                                    C. 3(2) + 4(-6) < = -1

   6 + 24 < = -1                                                6 - 24 < = -1

   30 < = -1......so its not A                               -18 < = -1.......this one <===

B. 3(6) + 4(2) < = -1                                      D. 3(-2) + 4(6) < = -1

   18 + 8 < = -1                                                  -6 + 24 < = -1

   26 < = -1....not B                                            18 < = -1.....not D

so ur answer is C

The ordered pair which is in the solution set of 3x + 4y ≤ −1 is; Choice C: (2, −6)

The graph given is that of the equation; 3x + 4y = −1.

As such, the ordered pair which is in the solution set of 3x + 4y ≤ -1. is that which when plotted lies on or below the line of the graph of 3x + 4y = −1.

For Point A;

  • When plotted on the Cartesian plane; the point lies above the straight line graph.

For Point B;

  • When plotted on the Cartesian plane; the point lies above the straight line graph.

For Point C:

  • When plotted on the Cartesian plane; the point lies below the straight line graph.

For Point D:

  • When plotted on the Cartesian plane; the point lies above the straight line graph.

As such, Point C: (2, −6) is the ordered pair which is in the solution set of 3x + 4y ≤ −1 .

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