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.

$\frac{2}{5} \geq x - \frac{4}{5}$

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 $\frac{4}{5}$ to both sides of the inequality to undo the subtraction operation done to x.

$\frac{2}{5} + \frac{4}{5} \geq x - \frac{4}{5} + \frac{4}{5} \\ \\ \frac{6}{5} \geq x$

Convert the improper fraction into a mixed number.

$\frac{6}{5} = 1 \frac{1}{5}$

So, D 1 1/5 ≥ x is the answer.