Question

solve for x and graph the solution on the number line below.

x - 6 < -2

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

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

Simplify both sides of the inequality.
$$x<4$$

Answer:

Inequality Notation: \(x < 4\)

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

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

eq4\)).

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