Homework help?

[Leesygirl]

How would I do these?

* -2 ≤ x ≤ 3
* x + y ≤ 4
* x - 2y < 2

I'm stuck on this question and I really need help! I need to give a graphical representation of the solution.

 

[stapel]

How would I do these?

* -2 ≤ x ≤ 3
* x + y ≤ 4
* x - 2y < 2

I'm stuck on this question and I really need help! I need to give a graphical representation of the solution.

To learn how to find the graphical solutions to linear equations (which they were supposed to have covered in class before testing you on it!), try online lessons, such as those listed (here).

 

[HallsofIvy]

How would I do these?

Start by setting up an xy coordinate system.

* -2 ≤ x ≤ 3

As far as x is concerned this is a segment on the x-axis. In the xy-plane, it is the vertical strip between those x-values.

* x + y ≤ 4

Draw the line x+ y= 4 (it passes through (0, 4) and (4, 0)). Every point on the same side of that line as (0, 0) satisfies this inequality.

* x - 2y < 2

Draw the line x- 2y= 2 (it passes through (0, -1) and (2, 0)). Every point on the same side of that line as (0, 0) satisfies this inequality.

The points satisfying all inequalities are those in the intersection of those sets. It is the triangle bounded by the lines x+ y= 4, x- 2y= 2, and x= -2.

I'm stuck on this question and I really need help! I need to give a graphical representation of the solution.

 

[Bob Brown MSEE]

Click Here to help visualize.