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

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In summary, the conversation involves finding the algebraic expression for a number U on the unit interval that differs from 0.5 by more than 0.25. The suggested expression is |0.5-U| > 0.25, with the added condition that -1 ≤ U ≤ 1 for the unit interval. There is also a question about whether the unit interval should be written as 0 ≤ U ≤ 1.
  • #1
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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  • #2
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.
 
  • #3
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 ?
 
  • #4
SammyS said:
Unit interval.

Should that be 0 ≤ U ≤ 1 ?

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

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

What is the purpose of formulating an expression?

The purpose of formulating an expression is to communicate a mathematical or scientific idea in a concise and precise manner. It allows for the representation of relationships between variables and helps to solve problems and make predictions.

How do you construct an expression?

An expression is constructed by using mathematical symbols, numbers, and variables to represent quantities and operations. The order of operations must also be followed to ensure the correct interpretation of the expression.

What are the key elements of an expression?

The key elements of an expression include numbers, variables, mathematical symbols (such as +, -, *, /), and parentheses. These elements work together to represent a mathematical relationship or operation.

Can an expression be simplified?

Yes, an expression can be simplified by combining like terms, using the distributive property, or applying other algebraic rules. Simplifying an expression can make it easier to understand and solve.

How can expressions be used in scientific research?

Expressions play a crucial role in scientific research by allowing scientists to model real-world phenomena, analyze data, and make predictions. They are used in a wide range of fields such as physics, chemistry, biology, and engineering.

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