#1**+1 **

\(-\frac{2}{5}x-9<\frac{9}{10}\)

First, add 9 to both sides.

\(-\frac{2}{5}x<\frac{9}{10}+9\)

Simplify

\(-\frac{2}{5}x<\frac{99}{10}\)

Divide both sides by -2/5

\(x<\frac{\frac{99}{10}}{-\frac{2}{5}}\)

Anything divided by a fraction is the same as that number multiplied by the fraction's reciprocal.

\(x<\frac{99}{10}*-\frac{5}{2}\)

99*-5=-495

10*2=20

\(x<\frac{-495}{20}\)

Reduce.

\(\frac{-495}{20}=\frac{-99}{4}\)

That is the furthest it can simplify, so x>-99/4. If you want that in decimal form, here it is.

\(\frac{-99}{4}=-24.75\)

AdamTaurus
Oct 31, 2017