Solve the inequality $-5 x<35$ and select the graph of the solutions. What is the solution? $\{x \mid$ (Type an inequality.)

Step 1 ：To solve the inequality $-5x < 35$, we need to isolate $x$ by dividing both sides of the inequality by $-5$. However, we need to remember that when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.

Step 2 ：So, the solution to the inequality is $x > -7$. This means that the solution set includes all real numbers greater than -7.

Step 3 ：Final Answer: \(\boxed{x > -7}\)