Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x.

The problem states that "Three times a certain number (x), minus 2 is less than the number minus 6." Mathematically, this can be written as: 3x - 2 < x - 6 To solve for x, we want to isolate x on one side of the inequality sign. First, we can simplify the inequality by subtracting x from both sides: 2x - 2 < -6 Next, we can add 2 to both sides: 2x < -4 Finally, we can divide both sides by 2: x < -2 Therefore, the possible values of x are x < -2. This means that any number less than -2 will satisfy the original inequality. Option (a) is correct: x < -2.