## Inequalities with Absolute value – IB maths SL

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

### Inequalities with Absolute value – IB maths SL

[color=#004040]Inequalities with Absolute value – IB math SL[/color]

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

$|2x-1|<|x+3|$?

Thanks!
Nyla

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

### Re: Inequalities with Absolute value – IB maths SL

Solving Inequalities with Absolute value – IB math SL

$|x-1|<|x-4| \Rightarrow |x-1|^2<|x-4|^2$

$(x-1)^2<(x-4)^2 \Rightarrow x^2-2x+1

$6x<15 \Rightarrow x<\frac{15}{6}$

Hope these help!
miranda

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

### Re: Inequalities with Absolute value – IB mats SL

Thank you!
Nyla

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