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Mathematics 7 Online
OpenStudy (anonymous):

help me solve this linear inequality.....

OpenStudy (anonymous):

\[1-5/9x \ge7\]

OpenStudy (anonymous):

@jhonyy9

sam (.sam.):

\[1-\frac{5}{9}x \geq 7?\]

OpenStudy (anonymous):

@.Sam. this is the linear inequality i need solved

sam (.sam.):

multiply both sides by 9

sam (.sam.):

what do you get?

OpenStudy (anonymous):

\[1-5x \ge7 @.Sam im \not sure\]

OpenStudy (anonymous):

@.Sam.

OpenStudy (goldphenoix):

\[1 - \frac{ 5 }{ 9 }x \ge 7\] To solve for x, you want to get rid of 1. You can get rid of 1 by subtracting 1 from both side. So your inequality should finally look like: \[-\frac{ 5 }{ 9 }x \ge 6\] Next you want to get rid of -5/9. You can do that by multiplying it by -9/5 from both side. -9/5 x 6 = -10.8 This mean that x = -10.8

OpenStudy (goldphenoix):

Let me check my work if I did anything wrong.

OpenStudy (goldphenoix):

Okay, I checked it. x is equal to -10.8. I hope this help! Any question?

OpenStudy (anonymous):

@GoldPhenoix how did u get -9/5x6=10.8

OpenStudy (anonymous):

thanks 4 ya help @GoldPhenoix

OpenStudy (goldphenoix):

Well. You want to cancel out: \[-\frac{ 5 }{ 9 }\] right?

OpenStudy (anonymous):

ok

OpenStudy (goldphenoix):

So you have to times it by \[-\frac{ 9 }{ 5 }\] Why? Well let see, what is -9/5 x -5/9?

OpenStudy (anonymous):

45/45

OpenStudy (goldphenoix):

45/45 = 1. So you cancel out 5/9 by multiplying it by 9/5. If you multiply it by 9/5, then you have to do it the other side.

OpenStudy (anonymous):

right

OpenStudy (anonymous):

so -10.8 is the solution set?

OpenStudy (goldphenoix):

If you have a fraction with a variable and you want to cancel out the fraction, ex: \[\large \large \frac{ 1 }{ 2 }x\] You must flip the fraction. ex: \[\frac{ 1 }{ 2 }x \times \frac{ 2 }{ 1 } = 1x\]

OpenStudy (goldphenoix):

Yes, the solution or x is -10.8.

OpenStudy (goldphenoix):

You can check it if you want. :)

OpenStudy (anonymous):

thanks @GoldPhenoix

OpenStudy (goldphenoix):

No problem! I hope this help! :)

OpenStudy (anonymous):

it did

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