solve using the multiplication principle. give the answer in set-builder notation. -4/5

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solve using the multiplication principle. give the answer in set-builder notation. -4/5

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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?
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: \[x \leq \frac{2}{15}\]

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