What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

Solution:

Given: Inequality is 2(3x - 1) ≥ 4x - 6

On simplifying this expression:

⇒ 2(3x – 1) ≥ 4x – 6

⇒ 6x - 2  ≥ 4x - 6

Transposing -2 on the right side and 4x on the left-hand side.

⇒ 6x - 4x  ≥ -6 + 2

⇒ 2x  ≥ -4

⇒ x  ≥ -2 [on dividing both sides by 2]

Solution is x ∈ (-2, ∞)

Therefore, the value of x in the solution set of 2(3x - 1) ≥ 4x - 6 is (-2, ∞).

What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

Summary:

The value of x in the solution set of 2(3x - 1) ≥ 4x - 6 is (-2, ∞).