ok one more inequality question plz
pic in comments

- anonymous

ok one more inequality question plz
pic in comments

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- schrodinger

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- anonymous

I think the answer is B but can someone check me

##### 1 Attachment

- anonymous

@Directrix

- anonymous

@mathmale

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## More answers

- mathmale

Look at the left term. It's a fraction, right? How would you go about re-writing this inquality so that you no longer have fractions? Is there an LCD here? Or is there another way in which you could remove the fraction?

- anonymous

So my answer is wrong

- mathmale

Aw, come on. Let's discuss the question first. And don't automatically assume that you're wrong.

- mathmale

I truly dislike dealing in answers. For me, it's importat to help you learn HOW to solve these problems. Then the correct answers will come almost automatically.

- anonymous

ok so this is what i did first:

- mathmale

Cool. That's what I wanted to see.

- anonymous

|dw:1449899087982:dw|

- anonymous

at the start i tried 3 but it didnt work so then i tried 75 and that is how i got B

- mathmale

Our objective: clear the inequality of fractions.
One possible method: Multiply both sides of the inequality by 5. Why 5?

- mathmale

\[\frac{ -t }{ 5 }\ge15\]

- mathmale

We want to clear this inequality of fractions.

- mathmale

So, we need to multiply both sides of the inequality by what quantity?

- anonymous

|dw:1449899381720:dw|

- mathmale

Well, i was hoping you'd say "We have to multiply both sides of the inequality by 5, to clear fractions."

- mathmale

Multiply both sides by 5:\[\frac{ -t }{ 5 }\ge15\]

- anonymous

|dw:1449899411738:dw|

- mathmale

|dw:1449899517409:dw|

- anonymous

|dw:1449899540087:dw|

- anonymous

so then 15*5=75

- mathmale

|dw:1449899575849:dw|

- mathmale

yes: 15*5 = 75. But we have to work with the whole inequality at one time.

- anonymous

ok so i have t on 1 side and 75 on the other

- mathmale

|dw:1449899706693:dw|

- anonymous

i got to go sorry but can you just tell me if its is correct

- mathmale

More accuratelly, you have -t on the left side and 75 on the other. Agreed?

- mathmale

To solve for positive t, you have to multiply both sides by (-1) AND (important) reverse the direction of the inequality sign. Therefore, the answer is t>-75.

- mathmale

come back tomorrow and we'll have more math fun.

- anonymous

ok thanks i will be on openstudy at about the same time or earlier

- mathmale

Cool. Good night!

- anonymous

ok bye thanks so much

- anonymous

Good night

- mathmale

You're welcome!

- anonymous

@mathmale

- mathmale

|dw:1449950548196:dw|

- mathmale

Simplify this expression.

- anonymous

|dw:1449950669170:dw|

- mathmale

|dw:1449950759353:dw|

- anonymous

so like this|dw:1449950823845:dw|

- anonymous

|dw:1449950878110:dw|

- mathmale

Very good. Now, how would you check this?

- anonymous

by doing the opposite of what i just did so multiplication

- mathmale

Where is the original inequality?
Choose a number from the set "t is equal to or smaller than -75" and subst. that value of t into the original inequality.

- mathmale

Choose a t value that satisfies YOUR final result. t = ??

- anonymous

t = less than -75

- mathmale

Yes. choose a t value that satisfies that.

- anonymous

so like one number not a equation

- mathmale

yes, just one t value.

- anonymous

i dont know can -76 be it

- mathmale

of course.
Now go back to the original inequality that you first posted. substitute -76 for t.
Is that inequality now true or false?

- mathmale

Please show your work, as before. thx.

- anonymous

|dw:1449951404647:dw|

- mathmale

That means your solution is correct. congrats!

- anonymous

thanks so the final answer will be B

- mathmale

You're welcome! Glad to be of help.

- anonymous

but the final answer is B right
and thanks so much for your time

- mathmale

Sorry, I'm too lazy ;) to go look up answer B. I trust you to do that correctly.

- anonymous

answer B is |dw:1449951609010:dw|

- anonymous

oh so thad wouldnt make sense A will though.

- anonymous

|dw:1449951653478:dw|

- mathmale

But that's not what you found, is it?
I'm glad you double-checked, and did that by yourself.

- mathmale

In words, "t is equal to or less than -75."
Example: -76 satisfies that inequality.

- anonymous

ok so now the final answer will be A yes?

- mathmale

If you substitute t=-76 into the inequality A and the inequality is TRUE, yes, A is the final answer. You know how to do that.

- anonymous

ok thanks again for everything and your time and all that stuff
sorry it took so long

- mathmale

Looking forward to working with you again! Great persistence. Take care!

- anonymous

You too!

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