Solve this just like you would a regular equation with an "equals" sign instead of a "greater than" sign.
You can rewrite the equation so the variables will be on the left side, like so...
6x - 5 > 12x + 1
becomes ---->
12x + 1 < 6x - 5
Now, move the variables on the left side of the equation:
12x + 1 < 6x - 5
12x - 6x + 1 < -5
Now, move the constants to the right side of the equation:
12x - 6x < -5 - 1
Combine like terms and solve:
6x < - 6
x < - 1
Good luck in your studies.
2007-01-02 13:06:09
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answer #1
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answered by Mitch 7
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Hi,
For 6x-5>12x +1, subtract 6x on both sides.
6x-5-6x>12x +1 - 6x This simplifies to:
-5 > 6x + 1 Now subtract 1 on each side.
-5 - 1> 6x + 1 - 1 Simplify this to get:
- 6 > 6x Now divide by 6 on both sides.
- 6/6 > 6x/6 This gives -1 > x. If -1 is greater than x, then that means that x is less than -1, so your answer is x < -1. That means any numbers less than -1 like x = -2, x = -3, etc. would make this inequality true, but numbers greater than or equal to -1 do not make the inequality true.
I hope that helps.
2007-01-02 13:08:03
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answer #2
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answered by Pi R Squared 7
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Hey you need to solve for x right?
-So you need to put all numbers with x on the left and all numbers with no x on the right:
6x - 12x > 1 + 5
-Now we simplify on both sides:
6x - 12x becomes -6x
and 1+5 becomes 6
so it is now -6x > 6
-to get rid of the negative in front of the x we swap all signs for their oppossite ones and change the greater than sign to a smaller than sign so:
6x < -6
-now we need to get x on its own so we divide both sides by the number in front of x ie: 6
therefore x < -1
Put all together it looks like this:
6x - 5 > 12x + 1
6x - 12x > 1 + 5
-6x > 6
6x < -6
divide by six therefore
x < -1
2007-01-02 19:28:58
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answer #3
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answered by <3 <3 <3 2
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6x>12x+6
-6x>6
-x>1
2007-01-02 13:01:46
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answer #4
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answered by Anonymous
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6x-5>12x+1
6x-12x>1+5
-6x>6
-x>1
x<-1
2007-01-02 22:26:52
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answer #5
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answered by A M 1
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get the x's on one sid so i would suggest subtract 6x from both sider so u r left with ..... -5>6x+1...then subtract one from both sides so you have -6>6x.....then divide both sides by 6 and ur left with -1>x
2007-01-02 13:05:34
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answer #6
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answered by austin r 1
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I agree with Austin and the first guy
2007-01-02 13:07:12
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answer #7
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answered by Miss Marie 3
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