Solve the given nonlinear inequality. Write the solution set using interval notation. Graph the solution set.$\frac{5}{x}\ge -1$

Key Concepts: Nonlinear Inequalities, Interval Notation, Graphing Solution Set Explanation: To solve the inequality, we need to isolate x on one side of the inequality sign. We start by multiplying both sides of the inequality by x to get:\n $5\le -x$\n Then, we divide both sides of the inequality by -1 (and switch the direction of the inequality sign) to get:\n $x\ge -5$\n Therefore, the solution set is all values of x greater than or equal to -5. In interval notation, this is written as:\n $[-5,\infty )$\n To graph the solution set, we draw a closed dot at -5 on the number line (since x is greater than or equal to -5) and shade to the right indefinitely. Step by Step Solution: Step 1. Multiply both sides of the inequality by x to get:\n $5\le -x$ Step 2. Divide both sides of the inequality by -1 (and switch the direction of the inequality sign) to get:\n $x\ge -5$ Step 3. Write the solution set as $[-5,\infty )$ Step 4. Graph the solution set by drawing a closed dot at -5 and shading to the right indefinitely Final Answer: The solution set is $[-5,\infty )$