Respuesta :

billgkgk

Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

MrRoyal

The graph that represents [tex]2x + 3y > -3[/tex] is (3)

The inequality is given as:

[tex]2x + 3y > -3[/tex]

Subtract 2x from both sides of the inequality

[tex]3y > -3 -2x[/tex]

Divide through by 3

[tex]y > -1 -\frac 23x[/tex]

Rewrite the inequality as follows:

[tex]y > -\frac 23x-1[/tex]

The above inequality means that:

  1. The graph has a slope of -2/3
  2. The graph as a y-intercept of -1
  3. The line of the inequality is a dotted line, and the upper part is shaded

Hence, the graph that represents [tex]2x + 3y > -3[/tex] is (3)

Read more about inequalities at:

https://brainly.com/question/234674

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