Question

Solve the inequality and graph its solution. \(5+x \geq-5\)

Short answer

The solution to the inequality \(5 + x \geq -5\) is \(x \geq -10\). This is graphically represented on a number line with a closed circle at -10 and a line drawn to the right.

Step-by-step solution

Isolate the variable

Start off by subtracting 5 from both sides of the inequality \(5 + x \geq -5\). This will isolate \(x\) on the left side. The resulting inequality is \(x \geq -5 - 5\), which simplifies to \(x \geq -10\).

Graph the solution

The inequality \(x \geq -10\) means that \(x\) can be -10, or any number greater than -10. To graph this on a number line, a closed circle is placed on -10 and a line is drawn to the right to indicate all numbers greater than -10.