Question

solve for x and graph the solution on the number l

x - 6 < -2

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Solve the inequality

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

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:

• Draw an open circle at \(4\) (because \(x = 4\) is not included in the solution set, since the inequality is strict, i.e., \(x\lt4\) not \(x\leqslant4\)).
• Draw an arrow to the left of \(4\) to represent all the values of \(x\) that are less than \(4\).