help me solve this linear inequality.....
\[1-5/9x \ge7\]
@jhonyy9
\[1-\frac{5}{9}x \geq 7?\]
@.Sam. this is the linear inequality i need solved
multiply both sides by 9
what do you get?
\[1-5x \ge7 @.Sam im \not sure\]
@.Sam.
\[1 - \frac{ 5 }{ 9 }x \ge 7\] 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
Let me check my work if I did anything wrong.
Okay, I checked it. x is equal to -10.8. I hope this help! Any question?
@GoldPhenoix how did u get -9/5x6=10.8
thanks 4 ya help @GoldPhenoix
Well. You want to cancel out: \[-\frac{ 5 }{ 9 }\] right?
ok
So you have to times it by \[-\frac{ 9 }{ 5 }\] Why? Well let see, what is -9/5 x -5/9?
45/45
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.
right
so -10.8 is the solution set?
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: \[\frac{ 1 }{ 2 }x \times \frac{ 2 }{ 1 } = 1x\]
Yes, the solution or x is -10.8.
You can check it if you want. :)
thanks @GoldPhenoix
No problem! I hope this help! :)
it did
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