Question #aa5af

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Answer 1 · 2017-09-22T17:51:34

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

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

We have: $2 (x - 1) \leq 10$ $2 (x - 1) le 10$

Dividing both sides of the inequality by $2$ $2$ :

$\Rightarrow x - 1 \leq 5$ $Rightarrow x - 1 le 5$

Adding $1$ $1$ to both sides:

$therefore x le 6$

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

Image from Wolfram Alpha

Therefore, the second and fourth statements are incorrect.