Solve for all values of c in simplest form. |2c|=8 Answer: c=

Given Equation: We are given the absolute value equation |2c| = 8. The absolute value of a number is always non-negative, and it represents the distance of that number from zero on the number line. To solve for c, we need to consider both the positive and negative scenarios that could result in an absolute value of 8.Positive Scenario: First, let's consider the positive scenario. If the inside of the absolute value, which is 2c, is positive, then we can write the equation without the absolute value as: 2c = 8 Now, we solve for c by dividing both sides of the equation by 2. c = 8 / 2 c = 4 This is one possible solution for c.Negative Scenario: Next, let's consider the negative scenario. If the inside of the absolute value, which is 2c, is negative, then the absolute value is equal to the negative of 2c. We can write the equation as: 2c = -8 Now, we solve for c by dividing both sides of the equation by 2. c = -8 / 2 c = -4 This is another possible solution for c.

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Solve for all values of
c in simplest form.

|2c|=8
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $|2 c|=8$ $\newline$ 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|=8

\newline

Answer:

c=

Given Equation: We are given the absolute value equation $|2c| = 8$ . The absolute value of a number is always non-negative, and it represents the distance of that number from zero on the number line. To solve for $c$ , we need to consider both the positive and negative scenarios that could result in an absolute value of $8$ .
Positive Scenario: First, let's consider the positive scenario. If the inside of the absolute value, which is $2c$ , is positive, then we can write the equation without the absolute value as: $\newline$ $2c = 8$ $\newline$ Now, we solve for $c$ by dividing both sides of the equation by $2$ . $\newline$ $c = \frac{8}{2}$ $\newline$ $c = 4$ $\newline$ This is one possible solution for $c$ .
Negative Scenario: Next, let's consider the negative scenario. If the inside of the absolute value, which is $2c$ , is negative, then the absolute value is equal to the negative of $2c$ . We can write the equation as: $\newline$ $2c = -8$ $\newline$ Now, we solve for $c$ by dividing both sides of the equation by $2$ . $\newline$ $c = \frac{-8}{2}$ $\newline$ $c = -4$ $\newline$ This is another possible solution for $c$ .