Answer:
Option 1,2, and 3
Explanation:
Given : Inequality
![6x \geq 3 + 4(2x - 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zivxep9jt7v6nv7jx83uuh5cyt5pyn0fb2.png)
To find : Which are correct representations of the inequality?
Solution :
Inequality
![6x \geq 3 + 4(2x - 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zivxep9jt7v6nv7jx83uuh5cyt5pyn0fb2.png)
Solving the inequality by opening the bracket,
![6x \geq 3 +8x -4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zjwcdkd0bxxlx8re7bymzcpk7ojb7p34ev.png)
Option 2 is correct.
![6x \geq 8x -1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xzeunvbr7acdy5p6id3hvo560ua8z2i7r6.png)
![1\geq 8x -6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/c11leexgbcmswzvfl9ippjx3f1v4pl1mc3.png)
![1\geq 2x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/57i37mbkzuryrtmfriauggr95j2tz8y825.png)
Option 1 is correct.
![(1)/(2)\geq x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t23oo03twrgip72nd4nsdpwr02jh7x2iql.png)
![x\leq (1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qxpgqfqmwavu4an0idb409vz5zj1u5tyh1.png)
![x\leq 0.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pwoha9iwj5295f5rlr3ozvp5whfavfm1x5.png)
A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
Option 3 is correct.
Therefore, Option 1,2, and 3 is correct.