Question

Solve the inequality.

Answer 1

To solve an inequality, get the variable you're solving for on one side of the inequality and everything else on the opposite side.


`(2)/(5) \geq x - (4)/(5)`

You get the x variable on it's own by undoing the operations done to it.

For example, if x is being multiplied by 5, you undo the multiplication operation by using the inverse of multiplication. Which is division.

We need to add
`(4)/(5)` to both sides of the inequality to undo the subtraction operation done to x.


`(2)/(5) + (4)/(5) \geq x - (4)/(5) + (4)/(5) \\ \\ (6)/(5) \geq x`

Convert the improper fraction into a mixed number.


`(6)/(5) = 1 (1)/(5)`

So, D 1 1/5 ≥ x is the answer.