Explain why there is no number that can replace n to make the equation /n/ = -3 true.
the absolute value of a number is always positive, by definition.
So, trying to set any absolute value equal to a negative number has no solution.
To solve this problem, we'll start by understanding the absolute value function, denoted as |x|. The absolute value of a number gives the distance of that number from zero on the number line.
In the equation |n| = -3, we need to find a number n that satisfies this equation. However, there is no value of n that can make the equation true.
The absolute value of any number is always non-negative or zero. This means that |n| is greater than or equal to zero for any value of n. But in this equation, we have -3 on the right side, which is negative.
Therefore, there is no value of n that can be substituted into the equation to satisfy the condition |n| = -3. It violates the definition and properties of absolute value, making it impossible to find a solution.
In summary, the equation |n| = -3 has no solution because the absolute value of any number is always non-negative, while the right side of the equation is negative.