Words can be expressed algebraically.
The algebraic expression is: [tex]\mathbf{|17 - \frac 52 x| =48}[/tex]
Let the number be x.
Five-halves of x is: [tex]\mathbf{\frac 52 x}[/tex]
So the difference between [tex]\mathbf{\frac 52 x}[/tex] and 17 is:
[tex]\mathbf{\frac 52 x - 17}[/tex] or [tex]\mathbf{17 - \frac 52 x }[/tex]
This difference equals 48.
So, we have:
[tex]\mathbf{\frac 52 x - 17 = 48}[/tex] or [tex]\mathbf{17 - \frac 52 x =48}[/tex]
Combine both expressions
[tex]\mathbf{|17 - \frac 52 x| =48}[/tex]
Hence, the required expression is: [tex]\mathbf{|17 - \frac 52 x| =48}[/tex]
Read more about algebraic expressions at:
https://brainly.com/question/19258044
