-3x>6 What is the solution set?

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

$\boxed{x$

<h2>Explanation:</h2>

Here we have the following inequality:

$-3x>6$

So divide both sides by -3:

$\frac{-3x}{-3}$

When multiplying or dividing an inequality by a negative number, the direction of the inequality changes. That's the reason why we changed the sign from > to <. Finally, the solution set is:

$\boxed{x$

<h2>Learn more:</h2>

Inequalities: brainly.com/question/14461691#

#LearnWithBrainly

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Serenity has 2\frac{1}{2} 2 1 cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 cup of dough for each dumpling, h

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3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has $2\frac{1}{2}$ cups of dough to make dumplings

She uses $\frac{3}{4}$ cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

$\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}$

$\text{Cups of dough for 1 dumpling } = \frac{3}{4}$

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

$\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3$