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Mathematics 18 Online
OpenStudy (anonymous):

Write an inequality for the sentence. Use x for the variable. The sum of a number and 12 is at least 25.

OpenStudy (anonymous):

What? I'm confused... -_-

OpenStudy (lilg132):

ok so lets replace the sum of a number with x

OpenStudy (anonymous):

Ok...

OpenStudy (lilg132):

now it says x AND 12 is atleast 25

OpenStudy (lilg132):

how do you think you could show that?

OpenStudy (anonymous):

Ok. So what do you replace and with?

OpenStudy (lilg132):

if i say to you 2 and 2 is 4

OpenStudy (lilg132):

what do you think and is replaces by?

OpenStudy (lilg132):

*replaced

OpenStudy (anonymous):

Addition sign

OpenStudy (lilg132):

good :)

OpenStudy (lilg132):

so what do you think the inequality look like?

OpenStudy (anonymous):

x+12 = 25 ? I'm not sure about the left side of this.

OpenStudy (anonymous):

Because what is 'at least' supposed to mean?

OpenStudy (lilg132):

at least means equal to or greater than

OpenStudy (anonymous):

Oh ok. So it's not an equal sign?

OpenStudy (lilg132):

so if i say x + 12 is atleast 4 it means 12 is either equal to 4 or larger then 4

OpenStudy (lilg132):

no its one of the inequality signs i'll let you decide which one

OpenStudy (anonymous):

Ok. So it's: \[x+12\le 4\]

OpenStudy (lilg132):

if i put 2 < 4 what do you think that means

OpenStudy (anonymous):

2 is less than 4

OpenStudy (lilg132):

great

OpenStudy (anonymous):

So did I get it right?

OpenStudy (lilg132):

but x + 12 is equal to or LARGER than 4

OpenStudy (anonymous):

Oh! I thought you said it's not equal to or larger. So it would be: \[x+12\ge4\]

OpenStudy (lilg132):

well done

OpenStudy (anonymous):

:D

OpenStudy (anonymous):

Whoa I just realized that we started using 4 instead of 25... So I think we need to re work it cause we got a little messed up there...

OpenStudy (lilg132):

ye sorry i didnt spot that mistake so just replace 4 by 25

OpenStudy (lilg132):

and then solve according to the method i showed you in the previous post

OpenStudy (anonymous):

Ok. thanks. I'm posting another question so you can help me. :D

OpenStudy (lilg132):

what answer did you get for that one?

OpenStudy (anonymous):

\[x+12\ge25\]

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