Given:
Ten subtracted from the quotient of a number and 7 is less than -6.
Let x be a number.
The given statement is written as,
[tex]\begin{gathered} \frac{x}{7}-10<-6 \\ \text{Add 10 on both side} \\ \frac{x}{7}-10+10<-6+10 \\ \frac{x}{7}<4 \\ \text{Multiply by 7 on both sides} \\ 7(\frac{x}{7})<7(4) \\ x<28 \end{gathered}[/tex]Answer: the inequality is,
[tex]\frac{x}{7}-10<-6[/tex]The solution is,
[tex]x<28[/tex]