Describing restrictions relating to variables.?

Question

Given a graph with the inequality y is less than or equal to x. How do I describe the restriction relating to the variables?

Or, an inequality like y is greater than or equal to 3/4x-1?

Another question... when given only a shaded area on a graph, how do you find the linear inequality?

Answer 1

Y is less than or equal to X:
Y <_ X (place < on top of _)

Y is greater then or equal to 3/4X-1:
Y >- 3/4x-1

Third question:
You find where it intersects then plot a point and run a test case. (sorry, this is nearly impossible to answre without a graph)

Answer 2

Graphs usually show restrictions with a solid line or dashed line.

The solid line includeds "equal to" and the dashed line "doesn't".

So, y <= x would be graphed with a solid line.

y >= 3/4x -1 would also be a solid line.

If all you have is a shaded area, normally you will pick the points that intercept the x and y axis. This will give points:

(x1, 0) for the y intercept and (0, y2) for the x intercept.

Then you will solve for the slope using the equation:

(y2-y1) / (x2-x1). Since we are using the x and y intercepts,

(y2 - 0) / (0-x1) for the slope.

Now you can put that into an equation:

y = mx+b where m is the slope, and b is the y intercept.

You will be able to write the inequality based on a solid or dashed line.

Regards,

Mysstere

Answer 3

Graph y = x and coloration down (or to the perfect and under the line) Use a T-chart to discover factors. *Plug in for x to get y.* x y 0 0 y = x or y = 0 a million a million 2 2 3 3 -a million -a million -2 -2 So when you graph y=x by way of plotting those factors on a Cartesian Coordinate device, coloration under as a results of fact the sign says under or equivalent to. it somewhat is a sturdy line meaning the answer is composed of the line y=x. this is Algebra1, no longer Grade 11 math.