# Inequality

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• Nov 24th 2012, 02:54 PM
skweres1
Inequality
Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
2
• Nov 24th 2012, 02:57 PM
skeeter
Re: Inequality
Quote:

Originally Posted by skweres1
Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
2

is this what you mean ...

$\displaystyle 5 - \frac{x-1}{2} \le -3x + 2$
• Nov 24th 2012, 03:02 PM
fkf
Re: Inequality
Quote:

Originally Posted by skweres1
Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
2

I suppose you mean "Find all the values of x that satisfy the inequality 5-(x-1) =< -3x+2" (were =< means "less or equal")

We then have
$\displaystyle \newline 5-(x-1) \leqslant -3x+2 \newline 5-x+1 \leqslant -3x+2 \newline x \leqslant -2$

Or if you mean
$\displaystyle \newline 5-\frac{x-1}{2} \leqslant -3x+2 \newline \newline 10-(x-1) \leqslant -6x+4 \newline \newline 10-x+1 \leqslant -6x+4 \newline \newline 5x \leqslant -7 \newline \newline x \leqslant \frac{-7}{5}$
• Nov 24th 2012, 03:06 PM
skweres1
Re: Inequality
Yes sorry meant to put the 2 under the x-1
• Nov 24th 2012, 03:08 PM
skweres1
Re: Inequality
YES sorry!!
• Nov 24th 2012, 03:08 PM
fkf
Re: Inequality
Quote:

Originally Posted by skweres1
Yes sorry meant to put the 2 under the x-1

I did edit my earlier post. The trick is to multiply the terms on both the sides with 2.
• Nov 24th 2012, 03:10 PM
skweres1
Re: Inequality
Thank you!!!!