# Thread: Need help on inequalities

1. ## 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

2. 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

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

3. ## Thanks

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

4. 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"