Question

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

Answer 1

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

`+ 1.50/0.50 < 0.50/0.50 xx x` This gives

`3.00 < x` which is the same as

`x > 3.00`