Question

1. solve for x and graph the solution on the number line below. x - 6 < -2

Explanation:

Step1: Isolate the variable x

Add 6 to both sides of the inequality $x - 6 < - 2$.
$x-6 + 6< - 2+6$

Step2: Simplify the inequality

$x<4$

To graph on the number - line:

1. Draw a number - line.
2. Mark the point 4 on the number - line.
3. Since the inequality is $x < 4$, draw an open circle at 4 (because 4 is not included in the solution set) and draw an arrow to the left of 4 to represent all the numbers less than 4.

Answer:

The solution of the inequality is $x < 4$. On the number - line, there is an open circle at 4 and an arrow pointing to the left.