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

x   ≥  – 2. { -2, -1, 0, 1,2,

Step-by-step 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,

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

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