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Lucas
07-12-2013, 05:54 PM
SAT math inequality with absolute value

I need help with the following inequality:

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

Thanks!!

lily
07-12-2013, 05:59 PM
SAT math Absolute Value Inequality

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

In order to solve this inequality 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

So, all real numbers x \leqslant -2 or x \geqslant 3 satisfy the inequality.


Hope these help!!:D

Lucas
07-12-2013, 05:59 PM
Thanks Lily!