The correct inequality is [tex]40n-240>160:n>10 months[/tex]
It is given that Albert has saved $[tex]720[/tex], and every month he saves $[tex]80[/tex] more. John has saved $[tex]480[/tex], and every month he saves $[tex]120[/tex] more.
We will solve this problem using Arithmetic progression
For Albert:
[tex]a_{m}=720,d=80\\a_{n} =720+80n,n>m[/tex]
For John:
[tex]a_{m} =480,d=120\\a_{n} =480+120n,n>m[/tex]
John saved money=[tex]160[/tex] more than Albert
[tex]480+120n-(720+80n)>160\\-240+40n>160\\40n-240>160:n>10 months[/tex]
Therefore the correct inequality is [tex]40n-240>160:n>10 months[/tex]
Learn more about Arithmetic progression from here:
https://brainly.in/question/22234492
