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:

-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

click and drag to plot line

submit answer

Explanation:

Step1: Isolate \(x\)

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

Step2: Simplify

Simplify the left - hand side \(x-6 + 6=x\) and the right - hand side \(-2 + 6 = 4\). So, \(x\lt4\).

Answer:

Inequality Notation: \(x\lt4\)

To graph \(x\lt4\) on the number line:

• Place an open circle at \(x = 4\) (because the inequality is strict, \(x\) is not equal to \(4\)).
• Shade the line to the left of \(4\) (since \(x\) is less than \(4\)).