Solve the following equations.
(A) $2\mid x\mid =10$

• A. $x=\{20,-20\}$
• B. $x=\{12,-12\}$
• C. $x=\{10,-10\}$
• D. $x=\{5,-5\}$

Answer: (D)

Verified step by step guidance

1. Start with the given equation: \$2\left|x\right| = 10$.
2. Isolate the absolute value expression by dividing both sides of the equation by 2: \(\left|x\right| = \frac{10}{2}\).
3. Simplify the right side to get \(\left|x\right| = 5\).
4. Recall that the absolute value equation \(\left|x\right| = 5\) means that \(x\) can be either 5 or -5 because absolute value measures distance from zero.
5. Write the solution set as \(x = \{5, -5\}\).