Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by vertical bars, such as |x|. For example, |-14| equals 14, as it represents the distance of -14 from 0.
Recommended video:
Parabolas as Conic Sections Example 1
Properties of Absolute Values
One important property of absolute values is that |a/b| = |a| / |b| for any non-zero b. This means that the absolute value of a quotient is equal to the quotient of the absolute values. This property is essential for simplifying expressions involving absolute values.
Recommended video:
Equivalence of Expressions
To determine if two expressions are equivalent, we can simplify both sides and compare their values. In this case, we need to evaluate |-14| / |2| and |-14/2| to see if they yield the same result. Understanding how to manipulate and simplify expressions is crucial for solving such problems.
Recommended video:
Introduction to Algebraic Expressions