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

Question

asked Jun 9, 2017 182k views

2 Answers

Tkane · Answer 1 · 2017-06-14T09:48:05+0000

Answer:

x ∈ IR /
$x\geq -2$ or you can also write

x ∈ IR / x ∈ [-2 , + ∞)

Explanation:

We have the following inequality :

$2(3x-1)\geq 4x-6$

To find the solution set of the inequality we need to find the values of x that satisfy the inequality.

Working with the inequality :

$2(3x-1)\geq 4x-6$

$6x-2\geq 4x-6$

$2x\geq -4$

$x\geq (-4)/(2)$

$x\geq -2$

The solutions of the inequality are all real numbers greater or equal to -2

We can write this as

x ∈ IR /
$x\geq -2$

Or either using and interval as

x ∈ IR / x ∈ [-2 , + ∞)