Solve each inequality. Give the solution set in interval notation. | 3x - 4 | < 2

Key Concepts

Absolute Value Inequalities

Absolute value inequalities involve expressions that measure the distance of a number from zero on the number line. The inequality |A| < B means that the expression A lies within the interval (-B, B). Understanding how to interpret and solve these inequalities is crucial for finding the solution set.

Interval Notation

Interval notation is a mathematical notation used to represent a range of values. It uses parentheses and brackets to indicate whether endpoints are included (closed interval) or excluded (open interval). For example, the interval (a, b) includes all numbers between a and b, but not a and b themselves.

Solving Linear Inequalities

Solving linear inequalities involves finding the values of the variable that satisfy the inequality. This process often includes isolating the variable on one side and may require reversing the inequality sign when multiplying or dividing by a negative number. Mastery of this concept is essential for accurately determining the solution set.