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Please help for 100 points. will give the brainiest.
Choose the graph matching the following system of inequalities.
x > –1
y > –3
x + y < 2
–2x + y < 4

Please help for 100 points will give the brainiest Choose the graph matching the following system of inequalities x gt 1 y gt 3 x y lt 2 2x y lt 4 class=
Please help for 100 points will give the brainiest Choose the graph matching the following system of inequalities x gt 1 y gt 3 x y lt 2 2x y lt 4 class=
Please help for 100 points will give the brainiest Choose the graph matching the following system of inequalities x gt 1 y gt 3 x y lt 2 2x y lt 4 class=
Please help for 100 points will give the brainiest Choose the graph matching the following system of inequalities x gt 1 y gt 3 x y lt 2 2x y lt 4 class=

Respuesta :

tztfsf

Answer:

It's the 2nd graph, the triangle with a small corner cut off

Step-by-step explanation:

Since x is greater than -1, draw a line at x=-1. This means that the graph cannot go to the left of this line. The same goes for y>-3, draw a line here, the graph cannot go below the line y=-3.

For x+y<2, this is the x intercept you see on the graph, while -2x+y<4 is the point (-2/3, 8/3)

semsee45

Answer:

See attachment.

Step-by-step explanation:

Given system of inequalities:

[tex]\begin{cases} x > -1\\y > -3\\x+y < 2\\-2x+y < 4\end{cases}[/tex]

Rearrange the third and fourth inequalities to isolate y:

[tex]\implies y < 2-x[/tex]

[tex]\implies y < 2x+4[/tex]

When graphing inequalities:

  • < or > : dashed line.
  • ≤ or ≥ : solid line.
  • < or ≤ : shade under the line.
  • > or ≥ : shade above the line.

Graph the lines:

Draw the dashed line x = -1 and shade above the line (to the right).

Draw the dashed line y = -3 and shade above the line.

Draw the dashed line y = 2 - x and shade below the line.

Draw the dashed line y = 2x + 4 and shade below the line.

Therefore, the only graph that represents the given constraints is the second graph. (See attachment).

Ver imagen semsee45

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