Question

solve the inequality and graph the solution on the line provided.

3x - 6 < -27

answer attempt 1 out of 5

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Isolate the term with \(x\)

Add \(6\) to both sides of the inequality \(3x - 6\lt - 27\).
$$3x-6 + 6\lt-27 + 6$$
$$3x\lt-21$$

Step2: Solve for \(x\)

Divide both sides of the inequality \(3x\lt-21\) by \(3\).
$$\frac{3x}{3}\lt\frac{-21}{3}$$
$$x\lt - 7$$

Answer:

Inequality Notation: \(x\lt - 7\)

For the number - line: Plot an open circle at \(-7\) (since the inequality is strict, \(x
eq - 7\)) and draw an arrow to the left (because \(x\) is less than \(-7\)).