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Mathematics 18 Online
OpenStudy (anonymous):

I'll fan and errthang for some help here: Solve the inequality. 3 + |t + 4| < 10

OpenStudy (agent0smith):

Get the abs value alone first, like the last one.

OpenStudy (anonymous):

Haha i'm from southside Chi town originally.

OpenStudy (the_fizicx99):

..what?

OpenStudy (agent0smith):

3 + |t + 4| < 10 How can you get it by itself?

OpenStudy (the_fizicx99):

No, i meant @ levi ._.

OpenStudy (anonymous):

@Levi565 so how does a color talk?

OpenStudy (anonymous):

I was only joking, not intending to offend anyone

OpenStudy (anonymous):

I know haha

OpenStudy (anonymous):

So I need some real help here can anyone help me with this?

OpenStudy (anonymous):

@agent0smith helped you...

OpenStudy (anonymous):

I suppose.

OpenStudy (anonymous):

A. –3 < t < 11 B. –11 < t < 3 C. t < 3 and t > 11 D. t > 3 or t < –11

OpenStudy (agent0smith):

3 + |t + 4| < 10 How did you get the abs value by itself last time? The very first question in your last question you posted.

OpenStudy (the_fizicx99):

Subtract to get the absolute then, replace the answer with a negative to get another solution

OpenStudy (anonymous):

I need someone who speaks english to help me...

OpenStudy (the_fizicx99):

Yup you're definitely "sassy black lady"

OpenStudy (agent0smith):

3 + |t + 4| < 10 subtract 3 on both sides, to get the abs value by itself

OpenStudy (anonymous):

That's me!

OpenStudy (the_fizicx99):

Yesh it is..

OpenStudy (anonymous):

But sassyness ain't finna help me learn this crap so...

OpenStudy (the_fizicx99):

^ ( ._.) I'll translate "english" to "dummies": Subtract. 3 From. Both sides. Go on from that

OpenStudy (anonymous):

So the right side is 7

OpenStudy (anonymous):

What is the left?

OpenStudy (agent0smith):

\[\Large 3 + |t + 4| < 10\]we subtract 3 on both sides like so \[\Large 3 - 3 + |t + 4| < 10 - 3\]Now what do we have? 7 is on the right side, yes.

OpenStudy (anonymous):

\[|t+4|<7 ?\]

OpenStudy (agent0smith):

Exactly. From here it's almost exactly the same as how you solved |n+2|≤1 in the last question. Try it the same way.

OpenStudy (anonymous):

okay so next step?

OpenStudy (agent0smith):

If \[\Large \left| something\right| < number\]then \[\Large - number < something < number\] and you have \[\Large |t+4|<7 ?\]

OpenStudy (anonymous):

Yesh.

OpenStudy (agent0smith):

So all you have to do is identify what that "something" is and what the "number" is.

OpenStudy (agent0smith):

\[\Large \left| something\right| < number \] \[\Large |t+4|<7 \]

OpenStudy (anonymous):

A. –3 < t < 11 B. –11 < t < 3 C. t < 3 and t > 11 D. t > 3 or t < –11

OpenStudy (anonymous):

I see what you're saying kinda...

OpenStudy (agent0smith):

\[\Large \left| something\right| < number \] \[\Large |t+4|<7\] Identify what your something is and what your number is. Then, \[\Large - number < something < number\]

OpenStudy (anonymous):

so \[-7<|t+4|<7\]

OpenStudy (agent0smith):

With one small change, look at the something in the first and last line. No | | signs.

OpenStudy (anonymous):

Ahhh okay so\[-7<t+4<7\]

OpenStudy (agent0smith):

Now there's only one more step, getting rid of that +4. Which means you need to subtract 4 everywhere - on the left, middle, and right side

OpenStudy (anonymous):

Okay so:|dw:1389130938394:dw|

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