Is This Expression Correct for U Differing from 0.5 by More Than 0.25?

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Homework Help Overview

The discussion revolves around formulating an algebraic expression for the condition that a number U, constrained to the unit interval, differs from 0.5 by more than 0.25.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the algebraic representation of the condition, with initial attempts focusing on inequalities. Questions arise regarding the correct interpretation of the unit interval and its boundaries.

Discussion Status

Some participants have provided guidance on refining the expression and clarifying the constraints of the unit interval. Multiple interpretations of the unit interval are being discussed, indicating an ongoing exploration of the problem.

Contextual Notes

There is a focus on ensuring that U is within the unit interval, with some confusion about its definition and boundaries.

magnifik
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I'm having trouble trying to decipher this:

A number U is on the unit interval. Write the algebraic expression for
"U differs from 0.5 by more than 0.25"

This is what I did...am I doing this correctly?
0.5-U > 0.25
after doing the algebra
U < 0.25
 
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You have most of the right thinking on this. Better might be include the condition that it's on this unit interval.

|0.5-U| > 0.25 AND -1<=U<=1, that is, if this unit interval is one unit from both sides of zero. You can work with that and come to you needed expression for U.
 
symbolipoint said:
You have most of the right thinking on this. Better might be include the condition that it's on this unit interval.

|0.5-U| > 0.25 AND -1<=U<=1, that is, if this unit interval is one unit from both sides of zero. You can work with that and come to you needed expression for U.
Unit interval.

Should that be 0 ≤ U ≤ 1 ?
 
SammyS said:
Unit interval.

Should that be 0 ≤ U ≤ 1 ?

Yes, I was under the impression that the unit interval is [0,1]
 

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