Question

||3x - 2| + 3| = Семь

Answer 1

Решение прикреплено.

Answer 2

To solve the equation ||3x - 2| + 3| = 7|, we need to consider the absolute value cases separately and find the values of x that satisfy each case.

Case 1: (3x - 2) is positive (3x - 2 > 0): In this case, we don't need to take the absolute value of (3x - 2). The equation becomes: (3x - 2) + 3 = 7 3x - 2 + 3 = 7 3x + 1 = 7 3x = 7 - 1 3x = 6 x = 6 / 3 x = 2

Case 2: (3x - 2) is negative (3x - 2 < 0): In this case, we need to take the absolute value of (3x - 2) by adding a negative sign before it. The equation becomes: -(3x - 2) + 3 = 7 -3x + 2 + 3 = 7 -3x + 5 = 7 -3x = 7 - 5 -3x = 2 x = 2 / -3 x = -2/3

So, the two solutions for the equation are x = 2 and x = -2/3.