What is the solution set? −5x−6.5>12
2 answers:
-5x-6.5>12
Add 6.5 to both sides...
-5x>18.5
Divide both sides by -5 and flip the sign...
x<-3.7
Assignment: ![\bold{Solve \ Equation: \ -5x-6.5>12}](https://tex.z-dn.net/?f=%5Cbold%7BSolve%20%5C%20Equation%3A%20%5C%20-5x-6.5%3E12%7D)
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Answer: ![\boxed{\bold{x](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7Bx%3C-3.7%7D%7D)
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Explanation: ![\downarrow\downarrow\downarrow](https://tex.z-dn.net/?f=%5Cdownarrow%5Cdownarrow%5Cdownarrow)
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[ Step One ] Add 6.5 To Both Sides
![\bold{-5x-6.5+6.5>12+6.5}](https://tex.z-dn.net/?f=%5Cbold%7B-5x-6.5%2B6.5%3E12%2B6.5%7D)
[ Step Two ] Simplify
![\bold{-5x>18.5}](https://tex.z-dn.net/?f=%5Cbold%7B-5x%3E18.5%7D)
[ Step Three ] Reverse Both Sides Of Equation By -1
![\bold{\left(-5x\right)\left(-1\right)](https://tex.z-dn.net/?f=%5Cbold%7B%5Cleft%28-5x%5Cright%29%5Cleft%28-1%5Cright%29%3C18.5%5Cleft%28-1%5Cright%29%7D)
[ Step Four ] Simplify
![\bold{5x](https://tex.z-dn.net/?f=%5Cbold%7B5x%3C-18.5%7D)
[ Step Five ] Divide Both Sides By 5
![\bold{\frac{5x}{5}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cfrac%7B5x%7D%7B5%7D%3C%5Cfrac%7B-18.5%7D%7B5%7D%7D)
[ Step Six ] Simplify
![\bold{x](https://tex.z-dn.net/?f=%5Cbold%7Bx%3C-3.7%7D)
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