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

RealityWillSlapYou
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, okay so it's x ≤ 14?

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1No. Careful. a < b <=> a > b

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1if \[ x \leq 14 \] 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.

RealityWillSlapYou
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, so is all of it wrong?

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

RealityWillSlapYou
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, okay I get it now. So I should shade it to the left, correct?

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

RealityWillSlapYou
 2 years ago
Best ResponseYou've already chosen the best response.0Closed circle shade to the right?

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, as the shaded circle indicates you include that value, in this case 14.

JamesJ
 2 years ago
Best ResponseYou've already chosen the best response.1btw, 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.

RealityWillSlapYou
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, thank you so much! ｏ(￣∇￣ｏ)
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