Write each statement using an absolute value equation or inequality. . m is no more than 2 units from 7.

Key Concepts

Absolute Value Definition

Absolute value measures the distance of a number from zero on the number line, regardless of direction. For any real number x, the absolute value is denoted as |x| and is defined as |x| = x if x ≥ 0, and |x| = -x if x < 0. This concept is crucial for translating statements about distance into mathematical equations or inequalities.

Distance in Mathematics

In mathematics, distance can be expressed as the absolute difference between two numbers. When stating that a number m is 'no more than' a certain distance from another number, it implies a range of values that m can take. This understanding is essential for forming the correct absolute value equation or inequality based on the given conditions.

Inequalities and Equations

Inequalities express a relationship where one quantity is less than, greater than, or equal to another. In this context, the phrase 'no more than' indicates a maximum limit, which can be represented using an inequality. Understanding how to formulate both equations and inequalities is key to accurately representing the given statement about m's distance from 7.