Solve the inequality, for x. (x)/(4)+7gt 1 Simplify your answer as much as possible. square

To solve the inequality $\frac{x}{4} + 7 > 1$, we need to isolate the variable $x$.<br /><br />Step 1: Subtract 7 from both sides of the inequality:<br />$\frac{x}{4} + 7 - 7 > 1 - 7$<br />$\frac{x}{4} > -6$<br /><br />Step 2: Multiply both sides of the inequality by 4 to eliminate the fraction:<br />$4 \cdot \frac{x}{4} > -6 \cdot 4$<br />$x > -24$<br /><br />Therefore, the solution to the inequality is $x > -24$.