Question

Solve the inequality below for x: −5x−12≤13

Explain it using any of these vocab words:
Polynomial expressions
Graphing polynomial expressions
Dividing polynomials
Solving polynomial equations
Rational functions

Answer 1

To solve the inequality −5x−12≤13, we add 12 to both sides, then divide by −5, giving us x ≥ −5. This solution indicates that x is equal to or greater than negative five and does not require the use of graphing tools.

Step-by-step explanation:

To solve the inequality −5x−12≤13, we will isolate the variable x on one side of the inequality. Here are the steps:

1. Add 12 to both sides of the inequality: −5x ≤ 25.
2. Divide both sides by −5, remembering to reverse the inequality symbol because we are dividing by a negative number: x ≥ −5.

This solution means that x is equal to or greater than negative five.

This inequality is a type of polynomial equation, and solving it does not require graphing or dividing polynomials, nor does it involve rational functions. However, if we were given a polynomial expression, we might use a graphing calculator, software, or other mathematical tools to help solve or visualize the solutions.