Kindly let me know how to draw inequality graphs especially how to find the co-ordinated in detail. Y > or equal to x/2, y< or equal to 2x and x+y < or equal to 8.

y \geq \frac{x}{2}

First, draw the graph of y = x/2.

Then choose a point not on the line. Say... (1, 1). This point is above the line. Does it satisfy the inequality? If yes, then you shade every area above the line.

y \leq 2x

Same thing here, first draw the graph for y = 2x.

Choose a point not on the line. (0, 5) is a point above the line. Put that in the inequality. Does it satisfy it? No, hence, shade all the area below the line.

For this one, rearrange first in the form y = mx + c then draw the line. Then do what I told you, and tell us what you get! :)

Dear Unknown,

I am not very good with graphs and would like to know how to decide the points that would satisfy the inequality. A detailed reply would be highly appreciated.

Well, one simple trick is to look at the inequality sign. If the sign is greater/greater than or equal to, then the points which satisfy the inequality will lie above the line of the graph.

If the sign is less/less than or equal to, the points that satisfy the inequality will lie below the line of the graph.