jameslee2798
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Easy question.
Simplify (Write each expression without the absolute value symbol.

|x / 3| if x = 0

I know this question is simple, I just need the steps on how you do it.

Sagot :

Answer:   x/3

Explanation:

The absolute value equation can be written piecewise like this

[tex]|x| = \begin{cases}x , \ \text{ if } x \ge 0\\-x , \ \text{ if } x < 0\end{cases}[/tex]

That is the same as saying

  • If [tex]x \ge 0[/tex], then [tex]|x| = x[/tex]
  • If [tex]x < 0[/tex], then [tex]|x| = -x[/tex]

Let's have y = x/3

If x = 0, then y = 0/3 = 0

So to compute |y|, we'll use the first rule mentioned above.

Therefore, [tex]\left|\frac{x}{3}\right| = \frac{x}{3} , \text{ when } x = 0[/tex]

I think your teacher wants you to avoid replacing x with 0. Though it's probably better to ask just to make sure.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.