Question

Solve the inequality and graph its solution. \(7+x \leq-9\)

Short answer

The solution to the inequality is \(x \leq -16\). In the graph, this is represented by a closed circle on \(-16\) and a line projecting towards negative infinity.

Step-by-step solution

Isolate Variable

First, isolate \(x\) by subtracting \(7\) from both sides of the inequality. This gives \(x \leq -9 - 7\).

Simplify

Simplify the right side of the inequality to solve for \(x\), which gives \(x \leq -16\).

Graph the Solution

Represent \(x \leq -16\) graphically on a number line. Mark a closed circle on \(-16\) to include it in the solution set and draw a line projecting towards negative infinity to denote all values less than or equal to \(-16\).