Given:
75% of a number minus 7 is at most 23.
Let the number is x
so,
75% of x - 7 is at most 23
so, this inequality will be as following:
[tex]75\%\cdot x-7\le23[/tex]then solve the inequality to find x:
[tex]\begin{gathered} 0.75\cdot x-7\le23 \\ 0.75x\le23+7 \\ 0.75x\le30 \\ \\ x\le\frac{30}{0.75} \\ \\ x\le40 \end{gathered}[/tex]