Solve equations :

1)

2)

3)

Please Help Me . If i solve these , i will have the best mark ever in math in my entire life !

Originally Posted by fatlind
Solve equations :

1)

2)

3)

Please Help Me . If i solve these , i will have the best mark ever in math in my entire life !
This sounds like a graded assignment. All we can do is give you pointers. The main thing is to show your work. Have you been able to make any progress on these?

-Dan

Originally Posted by topsquark
This sounds like a graded assignment. All we can do is give you pointers. The main thing is to show your work. Have you been able to make any progress on these?

-Dan
Yes . But everything I've done won't worth . someone else

Originally Posted by topsquark
This sounds like a graded assignment. All we can do is give you pointers. The main thing is to show your work. Have you been able to make any progress on these?

-Dan
Let's look at the first one. For starters if $\displaystyle |y| \leq k$ the we know that $\displaystyle -k \leq y \leq k$. So your first problem becomes:
$\displaystyle \left | \frac{x}{x - 1} \right | \leq 1 \implies -1 \leq \frac{x}{x - 1} \leq 1$

What can you do with this?

-Dan

Keep track of the direction of the inequalities. They are reversed if you multiply the inequality by a negative number. So, if you want to multiply across the inequality by $\displaystyle x-1$, you need to consider two cases: when $\displaystyle x-1>0$ and when $\displaystyle x-1<0$.