absolute value Inequality

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

absolute value Inequality

IB maths inequality with absolute value

How can we solve the following inequality:

$\left\vert{} 2x-1 \right\vert{}\geqslant 5$

Thanks!!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm

Re: absolute value Inequality

IB math Absolute Value Inequality

$\left\vert{} 2x-1 \right\vert{}\geqslant 5$

We’ll set up two inequalities.

$2x-1\leqslant -5$ or $2x-1\geqslant 5$

$2x \leqslant -4$ or $2x \geqslant 6$

$x \leqslant -2$ or $x \geqslant 3$

Hope these help!
miranda

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

Re: absolute value Inequality

Thanks miranda!!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm