Solve for all values of c in simplest form. |2c|=2 Answer: c=

Understand absolute value equation: Understand the absolute value equation |2c| = 2. The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |2c| = 2 means that the distance of 2c from zero is 2. This can happen if 2c is 2 or if 2c is -2.Solve for positive 2c: Solve the equation for when 2c is positive. If 2c is positive and its absolute value is 2, then we have: 2c = 2 Now, divide both sides by 2 to solve for c: c = 2 / 2 c = 1Solve for negative 2c: Solve the equation for when 2c is negative. If 2c is negative and its absolute value is 2, then we have: 2c = -2 Again, divide both sides by 2 to solve for c: c = -2 / 2 c = -1

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Solve for all values of
c in simplest form.

|2c|=2
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $|2 c|=2$ $\newline$ 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

|2 c|=2

\newline

Answer:

c=

Understand absolute value equation: Understand the absolute value equation $|2c| = 2$ . The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|2c| = 2$ means that the distance of $2c$ from zero is $2$ . This can happen if $2c$ is $2$ or if $2c$ is $-2$ .
Solve for positive $2c$ : Solve the equation for when $2c$ is positive. $\newline$ If $2c$ is positive and its absolute value is $2$ , then we have: $\newline$ $2c = 2$ $\newline$ Now, divide both sides by $2$ to solve for $c$ : $\newline$ $c = \frac{2}{2}$ $\newline$ $c = 1$
Solve for negative $2c$ : Solve the equation for when $2c$ is negative. $\newline$ If $2c$ is negative and its absolute value is $2$ , then we have: $\newline$ $2c = -2$ $\newline$ Again, divide both sides by $2$ to solve for $c$ : $\newline$ $c = -2 / 2$ $\newline$ $c = -1$