Question

Why is it helpful to rewrite inequalities

Answer 1

Answer:

  that puts the solution in the form ...

     variable is ...

Step-by-step explanation:

It isn't always.

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Often, we like to have a solution be in the form ...

  variable is ...

So, for an inequality, that puts the variable on the left:

  x > 3

  y < 27

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Personally, I like to see the answer in a form that has the variable and its values in the same relation as on a number line. This means, my preferred inequality symbols are < or ≤, since those have the smaller numbers on the left. I would write the first example above as ...

  3 < x

showing that the shaded portion of the number line (representing possible values of the variable) is to the right of the open circle at 3. For me, it is more mental effort to translate x > 3 to the same image.

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The forms we choose to use are all about making communication as easy as possible.