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#1 2024-05-14 14:17:34

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Absolute Value Notation Problems

Exercises 1 to 5, rewrite each statement using absolute value notation.


1. The distance between x and 1 is less than 1/2.


2. The distance between x and 1 exceeds 1/2.


3. The distance between x^3 and 1 is at most 0.001.


4.  The number y is less than one unit from the number t.


5. The sum of the distances of a and b from the origin is greater than or equal to the distance of a +  b from the origin.

Last edited by mathxyz (2024-05-14 14:18:00)

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#2 2024-05-14 15:22:43

Bob
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Registered: 2010-06-20
Posts: 10,583

Re: Absolute Value Notation Problems

I'll show one then hopefully you can do the rest.

1.  |X-1| < 1/2

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#3 2024-05-15 02:37:02

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Absolute Value Notation Problems

Bob wrote:

I'll show one then hopefully you can do the rest.

1.  |X-1| < 1/2

Bob

1. You told me that this forum is not for math help.

2. You said I can post problems here for members to practice with.

3. Problems that I post here are not those for which I seek help with.

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#4 2024-05-15 19:42:19

Bob
Administrator
Registered: 2010-06-20
Posts: 10,583

Re: Absolute Value Notation Problems

Apologies. I hadn't noticed this was an exercise.

Did I get that one right?

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#5 2024-05-16 01:33:29

mathxyz
Member
From: Brooklyn, NY
Registered: 2024-02-24
Posts: 1,053

Re: Absolute Value Notation Problems

Bob wrote:

Apologies. I hadn't noticed this was an exercise.

Did I get that one right?

Bob

Yes, you got it right.

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