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Mathematics 20 Online
OpenStudy (anonymous):

Please help (Image below)

OpenStudy (anonymous):

http://gyazo.com/4c794adba101c765aa762e08bd110f68

OpenStudy (mathstudent55):

I'll explain to you how to solve this inequality.

OpenStudy (anonymous):

okk

OpenStudy (mathstudent55):

You want to have r by itself. You have -r/4. To get rid of the 4 in the denominator, you need to multply both sides by 4. \(-\dfrac{r}{4} \le 8\) \(-\dfrac{r}{4} \times 4 \le 8 \times 4\)

OpenStudy (mathstudent55):

By multiplying both sides by 4, the 4 in the denominator cancels out. You need to multiply the 8 and the 4 on the right side. \(-r \le 32\) Do you follow so far?

OpenStudy (anonymous):

yea got it

OpenStudy (mathstudent55):

We have one more step. You don't want -r on the left side. you want just r alone. To change -r into r, we can multiply both sides by -1. When dealing with an inequality, when you multiply or divide both sides by a negative number, the inequality sign switches direction. \(-r \times (-1) \ge 32 \times (-1) \) The final answer is: \(r \ge -32\)

OpenStudy (anonymous):

tyvm

OpenStudy (mathstudent55):

yw

OpenStudy (mathstudent55):

When solving an inequality, you can add and subtract the same number on both sides just like you do with an equation. In an inequality, you can also multiply and divide both sides by the same _positive_ number, just like you do with an equation. The only difference when dealing with an inequality is that if you multiply or divide both sides by a _negative_ number, you must flip the inequality sign, like we did above.

OpenStudy (anonymous):

alright thankssss

OpenStudy (mathstudent55):

yw

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