Solve for n. |n + 4| = 1 Write your answers as integers or as proper or improper fractions in simplest form. n = _____ or n = _____

Define Absolute Value: We are given the equation |n + 4| = 1. To find the value of n, we need to consider the definition of absolute value, which states that if |x| = a, then x = a or x = -a. Therefore, we have two cases to consider for n + 4: it can either be 1 or -1.Case 1: n + 4 = 1: Let's first consider the case where n + 4 = 1. To solve for n, we subtract 4 from both sides of the equation. n + 4 - 4 = 1 - 4 n = -3Case 2: n + 4 = -1: Now let's consider the second case where n + 4 = -1. Again, we solve for n by subtracting 4 from both sides of the equation. n + 4 - 4 = -1 - 4 n = -5

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Solve for $n$ . $\newline$ $|n + 4| = 1$ $\newline$ Write your answers in simplest form.

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Algebra 1

Solve absolute value equations

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Q. Solve for

n

\newline

|n + 4| = 1

\newline

Write your answers in simplest form.

Define Absolute Value: We are given the equation $|n + 4| = 1$ . To find the value of $n$ , we need to consider the definition of absolute value, which states that if $|x| = a$ , then $x = a$ or $x = -a$ . Therefore, we have two cases to consider for $n + 4$ : it can either be $1$ or $-1$ .
Case $1$ : $n + 4 = 1$ : Let's first consider the case where $n + 4 = 1$ . To solve for $n$ , we subtract $4$ from both sides of the equation. $\newline$ $n + 4 - 4 = 1 - 4$ $\newline$ $n = -3$
Case $2$ : $n + 4 = -1$ : Now let's consider the second case where $n + 4 = -1$ . Again, we solve for $n$ by subtracting $4$ from both sides of the equation. $\newline$ $n + 4 - 4 = -1 - 4$ $\newline$ $n = -5$