How do you solve -.25+1.75x < -1.75 + 2.25x?

Oct 16, 2016

x > 3.00 Get all the x's on one side of the inequality and everything else on the other side.

Explanation:

Move all the x's to one side of the inequality and everything else to the other side.

2.25 x is greater than 1.75 x so move all the x's to the right side.
( Note it is easier not to deal with negative values of x)
so subtract 1.75 x from both sides.

$- 0.25 + 1.75 x - 1.75 x < - 1.75 + 2.25 x - 1.75 x$ this results in

$- 0.25 < - 1.75 + 0.50 x$ now add + 1.75 to both sides.

$- 0.25 + 1.75 < - 1.75 + 1.75 + 0.50 x$ which gives

$+ 1.50 < 0.50 x$ To solve, divide both sides by 0.50

$+ \frac{1.50}{0.50} < \frac{0.50}{0.50} \times x$ This gives

$3.00 < x$ which is the same as

$x > 3.00$