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Mathematics 11 Online
OpenStudy (rainbow_dashie):

http://prntscr.com/5htrnl

OpenStudy (anonymous):

Paid 100 per week PLUS $3 per sale. You want your pay to be AT LEAST $160

OpenStudy (anonymous):

So can you write an inequality using that?

OpenStudy (rainbow_dashie):

idk How.

OpenStudy (anonymous):

It says you're paid: 100 per week PLUS $3 a sale. Is that addition or subtraction?

OpenStudy (rainbow_dashie):

Addition.

OpenStudy (anonymous):

Yep. $3 a sale would be 3x So we have: 100 + 3x so far..

OpenStudy (anonymous):

Then it says 'you want your pay to be AT LEAST 160'. So is 'at least 160' less than or equal to 160, or is it greater than or equal to 160?

OpenStudy (rainbow_dashie):

?

OpenStudy (anonymous):

'at least 160' Is that \(\ge\) or \(\le\)?

OpenStudy (anonymous):

Hint: At least 160 also means '160 or more'

OpenStudy (anonymous):

\(\ge\) is the 'greater than or equal to' sign \(\le\) is the 'less than or equal to' sign

OpenStudy (anonymous):

So which sign is it going to be? @Rainbow_dashie

OpenStudy (rainbow_dashie):

i know

OpenStudy (rainbow_dashie):

how to make the sign

OpenStudy (anonymous):

You don't have to, just say 'greater than or equal to' or 'less than or equal to'. Or just type this code: ``` \(\ge\) ``` For the greater than or equal to sign and ``` \(\le\) ``` For the less than or equal to sign

OpenStudy (rainbow_dashie):

\(\ge\)

OpenStudy (anonymous):

Yep, you got it! So our equations is: \(100 + 3x \ge 160\)

OpenStudy (anonymous):

Okay, so that leaves us with option B and D, for option B, let's plug in x = 18. \(100 + 3(18) \ge 160\) \(100 + 54 \ge 160\) Can you add 100 + 54?

OpenStudy (rainbow_dashie):

154

OpenStudy (anonymous):

Yes, that gives us: \(154 \ge 160\) But this is FALSE because 154 isn't greater than or equal to 160, so Option B is incorrect. Let's plug in x = 20: \(100 + 3(20) \ge 160\) \(100 + 60 \ge 160\) Can you add 100 + 60?

OpenStudy (rainbow_dashie):

160

OpenStudy (anonymous):

Yep, that gives us: \(160 \ge 160\) This is true because 160 is greater than or equal to 160. So D is your answer.

OpenStudy (rainbow_dashie):

thx!

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