Solve for all values of c in simplest form. |c-22|=45 Answer: c=

Absolute Value Definition: We are given the absolute value equation |c-22|=45. The absolute value of a number is the distance of that number from zero on the number line, which means it is always non-negative. Therefore, c-22 can be either 45 or -45, because the absolute value of both 45 and -45 is 45.Positive Case Solution: First, let's consider the case when c-22 is positive or zero, which gives us c-22 = 45. To find the value of c, we add 22 to both sides of the equation. c - 22 + 22 = 45 + 22 c = 67Negative Case Solution: Now, let's consider the case when c-22 is negative, which gives us c-22 = -45. Again, we add 22 to both sides of the equation to find the value of c. c - 22 + 22 = -45 + 22 c = -23

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Solve for all values of
c in simplest form.

|c-22|=45
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $|c-22|=45$ $\newline$ Answer: $c=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

c

in simplest form.

\newline

|c-22|=45

\newline

Answer:

c=

Absolute Value Definition: We are given the absolute value equation $|c-22|=45$ . The absolute value of a number is the distance of that number from zero on the number line, which means it is always non-negative. Therefore, $c-22$ can be either $45$ or $-45$ , because the absolute value of both $45$ and $-45$ is $45$ .
Positive Case Solution: First, let's consider the case when $c-22$ is positive or zero, which gives us $c-22 = 45$ . To find the value of $c$ , we add $22$ to both sides of the equation. $\newline$ $c - 22 + 22 = 45 + 22$ $\newline$ $c = 67$
Negative Case Solution: Now, let's consider the case when $c-22$ is negative, which gives us $c-22 = -45$ . Again, we add $22$ to both sides of the equation to find the value of $c$ . $\newline$ $c - 22 + 22 = -45 + 22$ $\newline$ $c = -23$