1/4x - 1/2x>3
solve the inequality and sketch your solution on the number line. Use a test value to check your solution.
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Help Please?
$\displaystyle \frac14x - \frac12x$>3
$\displaystyle x(\frac14 - \frac12)$>3
$\displaystyle x(\frac14 - \frac24)$>3
$\displaystyle x(-\frac14)$>3
-3>$\displaystyle x(\frac14)$
$\displaystyle -3*4$ > x
x < -12
So on your number line, just find -12, then draw an arrow from -12 all the way down towards the left.
To test a value of x, you may choose any x less than -12, so try -15. When you plug it into $\displaystyle \frac14x - \frac12x$>3, you should get a number >3.