## Inequalities – IB mathematics SL

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

### Inequalities – IB mathematics SL

Inequalities – IB math SL

How can we find the set of values of x for which

$\frac{x}{x-1}>2$?

Thanks!
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm

### Re: Inequalities – IB math SL

Solving Inequalities – IB math SL

The rules for solving equations also apply to inequalities with the main difference that when we multiply or divide both sides of an inequality by a negative number we must reverse its sign.

$\frac{x}{x-1}>2 \Leftrightarrow \frac{x}{x-1}-2>0$

$\frac{x-2(x-1)}{x-1}>0 \Leftrightarrow \frac{x-2x+2}{ x-1}>0$

$\frac{-x+2}{x-1}>0 \Leftrightarrow (-x+2)(x-1)>0$

Now, we have a quadratic inequality which has solutions

$1

Hope these help!
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

### Re: Inequalities – IB mathematics SL

Thank you!
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm