Question

find all whole number solutions of each system using a table.. 9.) x+y<8
3x less than or equal to y+6


PLEASE HELP

Answer 1

Let me verify this: your ONE system consists of x + y < 8 AND 3x (less than or equal to) y + 6?

Answer 2

yupp I don't understand what to do or how to do it 9-11 is the same way

Answer 3

Caitlyn: Do you have the "table" in question in your possession? I'm unclear in regard to what kind of table this would be.

Answer 4

x,y table with 0,1,2,3,4 I guess what I put above is all it says "im lost"??????

Answer 5

I'm thinking. Be with you again in a moment.

Answer 6

Caitlyn, I have my own interpretation of this problem, and realize that I could be either right or wrong.

I think "whole number solutions" means that we list as solutions ONLY ordered pairs (x, y) that satisfy x + y < 8 and 3x (smaller than or equal to) y + 6.

Here's what I'd suggest: graph the DASHED line y = 8 - x and shade in the area BELOW this line (since y < 8 - x is equivalent to x + y < 8).

Then graph the SOLID line y = 3x - 6 and shade the area ABOVE it.

Now any point in the xy plane with INTEGER coordinates (x, y) that is in the DOUBLY shaded area is a solution to this system of inequalities.

Hope this makes some sense to you.

I'd need to do more thinking (which unfortunately I don't have time for right now) to determine a more general rule for identifying the specific points that satisfy this system.

Examples of points that DO satisfy the system: (0,0), (0,1), (-1,0), etc. Try substituting these points (x, y) into each of the inequalities of this system, and you'll find that both inequalities are satisfied.

Answer 7

thanks... gtg