The given inequality :
[tex]-\frac{x}{4}+5>7[/tex]To simplify the expression :
[tex]\begin{gathered} -\frac{x}{4}+5>7 \\ \text{Add }\frac{x}{4}\text{ on both side:} \\ -\frac{x}{4}+5+\frac{x}{4}>7+\frac{x}{4} \\ 5>7+\frac{x}{4} \\ \text{Subtract 7 from both side :} \\ 5-7>7-7+\frac{x}{4} \\ (-2)>\frac{x}{4} \\ \text{Multiply both side by 4 :} \\ 4(-2)>4\times\frac{x}{4} \\ -8>x \\ x<(-8) \end{gathered}[/tex]x < ( -8 )
Answer : x < ( - 8)