Question

solve for $x$ and graph the solution on the number line below.
$x - 6 < - 2$
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Isolate the variable

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

Step2: Simplify

Simplify the left - hand side \(x-6 + 6=x\) and the right - hand side \(-2 + 6 = 4\).
$$x<4$$

To graph \(x < 4\) on the number line:

• Draw an open circle at \(x = 4\) (because \(4\) is not included in the solution set, since the inequality is strict, \(x

eq4\)).

• Shade the line to the left of \(4\) (because \(x\) is less than \(4\)).

Answer:

Inequality Notation: \(x<4\)
For the number line: an open circle at \(4\) and shading to the left.