Math Is Fun Forum

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)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

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

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Absolute Value Notation Problems

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.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,623

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

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Absolute Value Notation Problems

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

Did I get that one right?

Bob

Yes, you got it right.