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Mathematics 24 Online
OpenStudy (anonymous):

Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph. 8 ≥ 3x + 5

OpenStudy (firekat97):

so we have 8 ≥ 3x + 5 and we want to isolate x, what is the first thing you would want to do?

OpenStudy (anonymous):

bring it to both sides???

OpenStudy (firekat97):

not quite, you want to first simplify the whole numbers, (8 and 5), to do this, without changing the equation, you can subtract 5 from both the left and right sides, so- 8 - 5 ≥ 3x + 5 - 5 so this simplifies to 3 ≥ 3x

OpenStudy (firekat97):

What do you think would be the next step to isolate x?

OpenStudy (anonymous):

okay um...I really want to say divide it from the 3 but I'm most likely wrong.

OpenStudy (firekat97):

no, thats actually correct! You want to divide both sides by 3. so you get 3/3 ≥ 3x/3 which simplifies down to 1 ≥ x

OpenStudy (anonymous):

Oh, well then. So if it's that simple what's with the two sentence thing?

OpenStudy (firekat97):

I think you're meant to draw the number line graph representing your answer and just a line or two explaining what the answer means exactly

OpenStudy (firekat97):

so try drawing up a line graph and describing your solution in a line or two

OpenStudy (anonymous):

Okay seems a bit pointless to do all that but alright. Thank you for your help.

OpenStudy (firekat97):

no problem :)

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