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anonymous

  • 4 years ago

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

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  1. anonymous
    • 4 years ago
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    do you have a greater than sign or a less than sign?

  2. anonymous
    • 4 years ago
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    4x – 5y <_ –10 x + 3y _> –12

  3. Mertsj
    • 4 years ago
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    Can you solve them for y?

  4. anonymous
    • 4 years ago
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    Thats what I need help with

  5. Mertsj
    • 4 years ago
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    \[4x-5y \le-10\]

  6. Mertsj
    • 4 years ago
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    Subtract 4x from both sides

  7. Mertsj
    • 4 years ago
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    \[-5y \le-4x-10\]

  8. anonymous
    • 4 years ago
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    Yea I did that

  9. Mertsj
    • 4 years ago
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    Now divide both sides by -5 and don't forget to reverse the inequality symbol.

  10. anonymous
    • 4 years ago
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    Then divide -5 does the sign flip?

  11. Mertsj
    • 4 years ago
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    \[y \ge\frac{4}{5}x+2\]

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

  13. Mertsj
    • 4 years ago
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    |dw:1328398506990:dw|

  14. Mertsj
    • 4 years ago
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    Ok. Are you ready for the second one?

  15. Mertsj
    • 4 years ago
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    \[x+3y \ge-12\]

  16. anonymous
    • 4 years ago
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    yes

  17. Mertsj
    • 4 years ago
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    Subtract x from both sides.

  18. Mertsj
    • 4 years ago
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    \[3y \ge-x-12\]

  19. Mertsj
    • 4 years ago
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    Now divide both sides by 3

  20. Mertsj
    • 4 years ago
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    \[y \ge-\frac{1}{3}x-4\]

  21. Mertsj
    • 4 years ago
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    Now mark -4 on the y axis and then go down 1 and right 3.

  22. Mertsj
    • 4 years ago
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    |dw:1328398842010:dw|

  23. Mertsj
    • 4 years ago
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    Checkerboard area is solution set.

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