Question

Solve the equation 3|x-1| + 1 = 10 for x. What are the solutions?"

A) x = 1
B) x = 2
C) x = 3
D) x = 4

Answer 1

To solve the equation 3|x-1| + 1 = 10 for x, isolate the absolute value term and divide both sides by 3. Then find the values of x by adding 1 to both sides of each equation.

Step-by-step explanation:

To solve the equation 3|x-1| + 1 = 10 for x, we first isolate the absolute value term by subtracting 1 from both sides of the equation, giving us 3|x-1| = 9. Then we divide both sides of the equation by 3 to get |x-1| = 3. This means that x-1 is either 3 or -3. To find the values of x, we add 1 to both sides of each equation, giving us x = 4 or x = -2.