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anonymous

  • one year ago

Solve the compound inequality 6b < 24 or 4b + 12 > 4. b < 4 or b > −2 b < 4 or b > 4 b < 4 or b > 2 b > 4 or b < −2

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  1. jim_thompson5910
    • one year ago
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    Focus on just 6b < 24 for now. How would you isolate b here?

  2. anonymous
    • one year ago
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    multiply 6 on both sides? im new to this so idk

  3. jim_thompson5910
    • one year ago
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    |dw:1438647266814:dw|

  4. jim_thompson5910
    • one year ago
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    the 6b means "6 times b" we need to undo the multiplication so we divide both sides by 6 to isolate b |dw:1438647301431:dw|

  5. anonymous
    • one year ago
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    4

  6. jim_thompson5910
    • one year ago
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    the '6's on the left side divide to 1 and cancel out more or less the 24/6 on the right side becomes 4 |dw:1438647326597:dw|

  7. jim_thompson5910
    • one year ago
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    now we solve 4b + 12 > 4 for b

  8. jim_thompson5910
    • one year ago
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    what's the first step?

  9. anonymous
    • one year ago
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    4 + 12 ?

  10. jim_thompson5910
    • one year ago
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    you have to follow PEMDAS in reverse 4b + 12 means 4*b + 12 the first thing we undo is the +12

  11. jim_thompson5910
    • one year ago
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    how do you undo the +12?

  12. anonymous
    • one year ago
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    idk :(

  13. jim_thompson5910
    • one year ago
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    what's the opposite of addition?

  14. anonymous
    • one year ago
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    subtraction

  15. jim_thompson5910
    • one year ago
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    subtract 12 from both sides |dw:1438647623112:dw|

  16. jim_thompson5910
    • one year ago
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    |dw:1438647650724:dw|

  17. jim_thompson5910
    • one year ago
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    what does 4-12 become?

  18. anonymous
    • one year ago
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    -8

  19. jim_thompson5910
    • one year ago
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    good

  20. jim_thompson5910
    • one year ago
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    we now have 4b > -8

  21. jim_thompson5910
    • one year ago
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    now what?

  22. anonymous
    • one year ago
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    hmmmm

  23. jim_thompson5910
    • one year ago
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    hint: look back at how we solved 6b < 24

  24. anonymous
    • one year ago
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    take 4 from both sides ?

  25. jim_thompson5910
    • one year ago
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    4b means "4 times b" what must you do to both sides to undo the multiplication of 4?

  26. anonymous
    • one year ago
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    divide by 4

  27. jim_thompson5910
    • one year ago
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    dividing both sides of 4b > -8 by 4 gives you what?

  28. anonymous
    • one year ago
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    1 and -2

  29. anonymous
    • one year ago
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    so my answer would be b> 4 or b < -2 right ?

  30. jim_thompson5910
    • one year ago
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    when we solved 6b < 24, what did we get?

  31. anonymous
    • one year ago
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    oops, we got B < 4

  32. jim_thompson5910
    • one year ago
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    yes

  33. anonymous
    • one year ago
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    so B < 4 or B > -2

  34. jim_thompson5910
    • one year ago
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    correct

  35. anonymous
    • one year ago
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    gahhhhhh thank you !!

  36. jim_thompson5910
    • one year ago
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    you're welcome

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