Question

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

Answer 1

$2(3x-1) \geq 4x-6\\\\\implies 6x -2 \geq 4x -6\\\\\implies 6x \geq 4x -6+2\\\\\implies 6x \geq 4x-4\\\\\implies 6x -4x \geq -4\\\\\implies 2x \geq -4\\\\\implies x \geq -\dfrac42\\\\\implies x \geq -2 \\\\\text{Interval,} ~ [-2, \infty)$