What is the solution for C when solving the inequality |5C - 2| > 18?

What is the solution for C when solving the inequality |5C - 2| > 18?

• A. C is less than -4
• B. C is equal to 4
• C. C is greater than 4
• D. C is less than 4

Answer: (C)

To solve the inequality |5C - 2| > 18, we start by interpreting the absolute value inequality, which can be split into two separate cases. The expression |5C - 2| > 18 can be translated to two scenarios: 1. 5C - 2 > 18 2. 5C - 2 < -18 Starting with the first scenario: 1. **5C - 2 > 18** We add 2 to both sides: 5C > 20 Then, divide both sides by 5: C > 4 Next, we solve the second scenario: 2. **5C - 2 < -18** Again, we add 2 to both sides: 5C < -16 Dividing both sides by 5, we find: C < -3.2 Combining these results from both scenarios provides the complete solution set for the original inequality. We express it as two parts: C > 4 or C < -3.2. In this context, the correct interpretation focuses on C being greater than 4, as indicated in the correct answer

To solve the inequality |5C - 2| > 18, we start by interpreting the absolute value inequality, which can be split into two separate cases.

The expression |5C - 2| > 18 can be translated to two scenarios:

1. 5C - 2 > 18

2. 5C - 2 < -18

Starting with the first scenario:

1. 5C - 2 > 18

We add 2 to both sides:

5C > 20

Then, divide both sides by 5:

C > 4

Next, we solve the second scenario:

2. 5C - 2 < -18

Again, we add 2 to both sides:

5C < -16

Dividing both sides by 5, we find:

C < -3.2

Combining these results from both scenarios provides the complete solution set for the original inequality. We express it as two parts: C > 4 or C < -3.2.

In this context, the correct interpretation focuses on C being greater than 4, as indicated in the correct answer