Question

URGENT PLEASE HELP WILL GIVE BRAINLYIST TO WHO ANWSERS FIRST AND GETS RIGHT

Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4

y > x + 2 and x + 2y < 4

y > x – 2 and x + 2y < 4

y > x – 2 and x + 2y < –4

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Answer 1

Answer:

y > x + 2 and x + 2y < 4

Step-by-step explanation:

The graph to y >x+2 is shown in the attached picture, as well as the graph for 2x+2y<4, which is the same inequality as 0.5x-4< y

When you merge the 2 inequalities you get the graph that you are trying to get, the interception of the 2 regions.

You get these graphs by remembering how to inequalities are drawn, you must leave one variable on one side of the inequality sign, and the rest of terms to the other side.

Then you consider what sign you have, if is a < sign, then, is the region below the terms to the other side of the inequality, and vice versa.

Answer 2

Answer:

The graph given is intersection of two lines represented in terms of inequality

 One line has X intercept 4 and Y intercept equal to 2 ,another line has X intercept 2 and Y intercept equal to -2.

Out of the four Options given

Option 3, matches with the graph.

$\rightarrow y>x-2\\\\ x-y<2\\\\ \frac{x}{2} +\frac{y}{-2}<1\\\\\rightarrow x+2y<4\\\\ \frac{x}{4} +\frac{y}{2}<1$