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RealityWillSlapYou
Group Title
Is this correct?
12 + 4x ≤ 5x 2
12 x ≤ 2
x ≤ 14
 one year ago
 one year ago
RealityWillSlapYou Group Title
Is this correct? 12 + 4x ≤ 5x 2 12 x ≤ 2 x ≤ 14
 one year ago
 one year ago

This Question is Closed

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
Yes, but we would never express the answer that way. You want an inequality involving only x, not x, hence .... x ....
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
Oh, okay so it's x ≤ 14?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
No. Careful. a < b <=> a > b
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
if \[ x \leq 14 \] that can NOT mean that \( x \leq 14 \). For example, when x = 15, \( x = 15 \leq 14 \) is true, but \( x =15 \leq 14 \) is definitely false.
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
Okay, so is all of it wrong?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
No. What I am saying is you want to have an inequality involving only x, not x. The inequality \[ x \leq 14 \] is equivalent to \[ x \geq 14 \]
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
Oh, okay I get it now. So I should shade it to the left, correct?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
No. x is greater or equal to 14, so it is that part of the number line to the right of 14, including 14 itself.
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
Closed circle shade to the right?
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
Yes, as the shaded circle indicates you include that value, in this case 14.
 one year ago

JamesJ Group TitleBest ResponseYou've already chosen the best response.1
btw, whenever you do these things you should double check with the original expression. Put in x = 14 and x = 15 and make sure you get the results you expect.
 one year ago

RealityWillSlapYou Group TitleBest ResponseYou've already chosen the best response.0
Okay, thank you so much! ｏ(￣∇￣ｏ)
 one year ago
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