# Need help on inequalities

• Sep 7th 2008, 12:56 PM
Whc15
Need help on inequalities
Here are the two problems I need Help on any help would be a great thanks.

l3hl+15<0
and
lxl less then equal to x - 1

For the second one I got all real numbers and the last one iam dont know what to do

Thanks again
• Sep 7th 2008, 01:01 PM
Jhevon
Quote:

Originally Posted by Whc15
Here are the two problems I need Help on any help would be a great thanks.

l3hl+15<0

that's impossible. it doesn't work no matter what h is. if this is your problem, it has no solution

Quote:

and
lxl less then equal to x - 1
for this you have to solve

\$\displaystyle -(x - 1) \le x \le x - 1\$

this comes from the definition of |x|, which i assume you know
• Sep 7th 2008, 01:06 PM
Whc15
Thanks

I am still a little confused on the last one would the answer be all real numbers
• Sep 7th 2008, 02:05 PM
Jhevon
Quote:

Originally Posted by Whc15

I am still a little confused on the last one would the answer be all real numbers

no, it also has no solution. it would be all real x if \$\displaystyle |x| \ge x - 1\$

it seems strange that both your answers have no solution. make sure you describe the inequalities correctly

\$\displaystyle \ge\$ means "greater than or equal to", and

\$\displaystyle \le\$ means "less than or equal to"