Option 4th is correct
value of x is in the solution set is, -1
Step-by-step explanation:
Given the inequality equation:
![2(3x-1)\geq 4x-6](/tpl/images/0380/2334/eeab9.png)
Using distributive property: ![a \cdot (b+c) = a\cdot b+ a\cdot c](/tpl/images/0380/2334/3347a.png)
then;
![6x-2\geq 4x-6](/tpl/images/0380/2334/11716.png)
Subtract 4x from both sides we have;
![2x-2\geq -6](/tpl/images/0380/2334/a790e.png)
Add 2 to both sides we have;
![2x\geq -4](/tpl/images/0380/2334/e3848.png)
Divide both sides by 2 we have;
![x\geq -2](/tpl/images/0380/2334/5bdc2.png)
From the given option, we have
x = -1
Therefore, the value of x is in the solution set of 2(3x – 1) ≥ 4x – 6 is, -1