Question

Question #aa5af

Answer 1

Correct statements:
`x` is less than or equal to `6`.
A number line with a closed circle on `6` and shading to the left.

Incorrect statements:
`6` greater than or equal to `x`.
A number line with a closed circle on `6` and shading to the right.

Explanation:

We have: `2 (x - 1) le 10`

Dividing both sides of the inequality by `2`:

`Rightarrow x - 1 le 5`

Adding `1` to both sides:

`therefore x le 6`

Now, on a number line this solution to our inequality would be represented in the following way:

Therefore, the second and fourth statements are incorrect.