anonymous 4 years ago Graph the inequalities 4x – 5y –10 x + 3y –12

1. anonymous

do you have a greater than sign or a less than sign?

2. anonymous

4x – 5y <_ –10 x + 3y _> –12

3. Mertsj

Can you solve them for y?

4. anonymous

Thats what I need help with

5. Mertsj

$4x-5y \le-10$

6. Mertsj

Subtract 4x from both sides

7. Mertsj

$-5y \le-4x-10$

8. anonymous

Yea I did that

9. Mertsj

Now divide both sides by -5 and don't forget to reverse the inequality symbol.

10. anonymous

Then divide -5 does the sign flip?

11. Mertsj

$y \ge\frac{4}{5}x+2$

12. Mertsj

Now graph it. Mark 2 on the y axis. From that point, go up 4 and right 5

13. Mertsj

|dw:1328398506990:dw|

14. Mertsj

Ok. Are you ready for the second one?

15. Mertsj

$x+3y \ge-12$

16. anonymous

yes

17. Mertsj

Subtract x from both sides.

18. Mertsj

$3y \ge-x-12$

19. Mertsj

Now divide both sides by 3

20. Mertsj

$y \ge-\frac{1}{3}x-4$

21. Mertsj

Now mark -4 on the y axis and then go down 1 and right 3.

22. Mertsj

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23. Mertsj

Checkerboard area is solution set.

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