## anonymous 5 years ago solve using the multiplication principle. give the answer in set-builder notation. -4/5 <less than or equal to -6x

We have: $-\frac{4}{5} \leq -6x$ We can divide by -6 on either side, but remember that dividing by a negative flips the inequality; so we have: $-\frac{4}{-5\cdot 6} \geq x$ $-\frac{4}{30} \geq x$ Can you simplify that fraction and write it the inequality set-builder notation?

2. anonymous

So shadowfend, would the answer be x > greater than or equal to -2/15

Not quite, I made a sign error up there. The negatives cancel. And you said greather than or equal to whereas that should be less than or equal to. So: $x \leq \frac{2}{15}$

Do you know how to put that in set-builder notation?

5. anonymous

6. anonymous

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