Question

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

Answer 1

2(3x-1) ≥ 4x-6
Distribute the 2 on the left side: 6x-2 ≥ 4x-6

Move terms to solve for x:

2x ≥ -4

x ≥ -2

Therefore, any value from -2 to ∞ are valid solutions.

Answer 2

x ≥ – 2. { -2, -1, 0, 1,2,.....

Explanation:

Given : 2(3x – 1) ≥ 4x – 6.

To find : What value of x is in the solution set .

Solution : We have given that

2(3x – 1) ≥ 4x – 6.

Distribute 2 over (3x -1)

6x -2 ≥ 4x – 6.

On subtracting both sides by 4x

6x -2 - 4x ≥ – 6.

On adding both sides by 2

2x ≥ – 6+ 2.

2x ≥ – 4.

On dividing both sides by 2

x ≥ – 2.

Therefore, x ≥ – 2. { -2, -1, 0, 1,2,.....