One-fourth of the opposite of the difference between five and a number is less than 20.

1/4(-5+n) < 20 the opposite of 5-n is -5+n
multiply by 4
-5 + n < 80
plus 5
n< 85

Answered by nathanoowaufder | 2024-06-10

The **value **of the **equation **is n < 85
What is an Equation?
**Equations **are mathematical statements with two algebraic **expressions **flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the **expressions **printed on the left and right sides.
Coefficients , variables , operators , constants , terms , expressions , and the equal to sign are some of the components of an equation . The "=" sign and terms on both sides must always be present when writing an equation .
Given data ,
Let the **number **be = n
Now , the **equation **is
One fourth of the opposite of the difference of five and a **number **is less than 20
One fourth = 1/4
Opposite of difference of 5 and a **number **n
Opposite of ( 5 - n ) is ( n - 5 )
So , on **substituting **the **values **in the **equation **, we get
( 1/4 ) ( n - 5 ) < 20
**Multiply **by 4 on both sides of the **equation **, we get
( n - 5 ) < 80
**Adding **5 on both sides of the **equation **, we get
n < 85
Therefore , the **value **of n is n < 85
Hence , The **value **of the **equation **is n < 85
To learn more about **equations **click :
https://brainly.com/question/10413253
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Answered by psm22415 | 2024-06-16

The inequality can be solved by defining the number as n and setting up the equation 4 1 ​ ( n − 5 ) < 20 . After solving the inequality, we find that n < 85 . This means that the value of n must be less than 85.
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Answered by psm22415 | 2024-10-22