Another simple Algebra problem

coder1

Senior member
Jul 29, 2000
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I'm trying to solve this one.

4-(2x+1)<7-x

I was originally getting 7/11, but I know that is wrong.

When you have a negative in front of the parenthesis how do you handle that?

Thanks for any help from some of you math geeks ;)
 

Heisenberg

Lifer
Dec 21, 2001
10,621
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An inequality is just like an equal sign, except when you divide you have to reverse the inequality. The negative just means minus everything in the parentheses.
 

agnitrate

Diamond Member
Jul 2, 2001
3,761
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I get x > -4

4 - (2x + 1) < 7 - x
3 - 2x < 7 - x
-4 < x
x > -4

There ya go :)

p.s. i prefer being called math-capable not geetk ;)

-silver
 

Haircut

Platinum Member
Apr 23, 2000
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I'm assuming that this is

4 * -(2x+1) < 7-x

If so, you get

-8x - 4 < 7-x
-7x - 4 < 7
-7x < 11
x> -(11/7)
 

coder1

Senior member
Jul 29, 2000
433
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Man you guys are quick. Thanks for the help. I tried it again and right before the end I got -x<4 Do you just redistribute the negative to the four so it looks like x<-4?
Thanks again for your help.
 

notfred

Lifer
Feb 12, 2001
38,241
4
0
Originally posted by: coder1
I'm trying to solve this one.

4-(2x+1)<7-x

I was originally getting 7/11, but I know that is wrong.

When you have a negative in front of the parenthesis how do you handle that?

Thanks for any help from some of you math geeks ;)

4-2x-1 < 7-x
3-2x < 7-x
3 < 7 + x
-4 < x

x > -4
 

notfred

Lifer
Feb 12, 2001
38,241
4
0
Originally posted by: coder1
Man you guys are quick. Thanks for the help. I tried it again and right before the end I got -x<4 Do you just redistribute the negative to the four so it looks like x<-4?
Thanks again for your help.

if you multiply by a negative number, you have to reverse the ineqality also

example:

5 < 10

multiply by (-1)

-5 > -10

See why it needs to be reversed?

Same goes for

-x<4

mult by -1

x>-4
 

coder1

Senior member
Jul 29, 2000
433
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Here's another question. When you have something like -x=-1 can it be rewritten as x=1 And is that doe by multiplying both sides by -1?


Thanks again.
 

Haircut

Platinum Member
Apr 23, 2000
2,248
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Originally posted by: coder1
Here's another question. When you have something like -x=-1 can it be rewritten as x=1 And is that doe by multiplying both sides by -1?


Thanks again.
yes

 

agnitrate

Diamond Member
Jul 2, 2001
3,761
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Originally posted by: coder1
Here's another question. When you have something like -x=-1 can it be rewritten as x=1 And is that doe by multiplying both sides by -1?


Thanks again.

Exactly.

-silver
 

notfred

Lifer
Feb 12, 2001
38,241
4
0
Originally posted by: coder1
Here's another question. When you have something like -x=-1 can it be rewritten as x=1 And is that doe by multiplying both sides by -1?


Thanks again.

yep, just multiply both sides by -1.
 

Dacalo

Diamond Member
Mar 31, 2000
8,778
4
76
Originally posted by: coder1
Here's another question. When you have something like -x=-1 can it be rewritten as x=1 And is that doe by multiplying both sides by -1?


Thanks again.

yes
 

coder1

Senior member
Jul 29, 2000
433
0
0
Thanks guys for all your help. I havn't touched algebra in 10 years. Trying to teach myself again.