Which is the graph of linear inequality 2y > x – 2?

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Question:

Which is the graph of linear inequality 2y > x – 2?

Answer:

The graph of linear inequality (2y > x – 2) can be drawn by determining the x-intercept and y-intercept of the equation (2y = x – 2).

Given :

Inequality — 2y > x – 2

The graph of the inequality can be drawn by using the following steps:

Step 1 – First find the y-intercept by putting (x = 0) in equatiuon (2y = x – 2).

y = -1

Step 2 – Now, find x-intercept by putting (y = 0) in equatiuon (2y = x – 2).

x = 2

Step 3 – Now, draw the line that passes through (0,-1) and (2,0).

Step 4 – Now, shade the upper part of the line, the resulting graph is the graph of (2y > x – 2).

Therefore, the correct option is C).

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