Question

question
solve for all values of c in simplest form.
21 = |c - 30|
answer attempt 1 out of 2
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Explanation:

Step1: Definir la ecuación de valor absoluto

La ecuación \( 21 = |c - 30| \) significa que \( c - 30 = 21 \) o \( c - 30 = -21 \) (por la definición de valor absoluto: \( |x| = a \) implica \( x = a \) o \( x = -a \) cuando \( a \geq 0 \)).

Step2: Resolver \( c - 30 = 21 \)

Sumar 30 a ambos lados:
\( c - 30 + 30 = 21 + 30 \)
\( c = 51 \)

Step3: Resolver \( c - 30 = -21 \)

Sumar 30 a ambos lados:
\( c - 30 + 30 = -21 + 30 \)
\( c = 9 \)

Answer:

\( c = 51 \) o \( c = 9 \)