Solve the inequalities. Graph the solutions on the number lines.
\(|x - 3| \leq 5\)
\(|x - 3| < 5\)
\(|x - 3| > 5\)
\(|x - 3| \geq 5\)
to access Practice Problem Solutions.
Problem 2
Solve the inequalities. Graph the solutions on the number lines.
\(|x - 1.2| \leq 3.1\)
\(|x - \frac{3}{4}| > 5\)
\(|x + 2| < \frac{1}{3}\)
\(|x - 7| \geq 2.3\)
to access Practice Problem Solutions.
Problem 3
Use distance on a number line to explain why the solutions to \(|3 - x| \geq 2\) include all numbers less than or equal to 1 as well as all numbers greater than or equal to 5.
to access Practice Problem Solutions.
Problem 4
Explain what the solutions to the inequality \(|x - 4.26| \geq 0\) mean based on distance on a number line. What are the solutions?
Explain what the solutions to the inequality \(|x - 2| < 0\) mean based on distance on a number line. What are the solutions?
to access Practice Problem Solutions.
Problem 5
Solve the inequalities. Graph the solutions on the number lines.