Question

solve the inequality

Answer 1

Answer:

B

Step-by-step explanation:

Inequalities of the form | x | ≥ a, always have solutions of the form

x ≤ - a OR x ≥ a, thus

3m - 2 ≤ - 1 OR 3m - 2 ≥ 1

In both inequalities add 2 to both sides

3m ≤ 1 OR 3m ≥ 3

Divide both sides of both inequalities by 3

m ≤ $\frac{1}{3}$ OR m ≥ 1

Answer 2

Answer:

$\large\boxed{m\leq\dfrac{1}{3}\ or\ m\geq1}$

Step-by-step explanation:

$|3m-2|\geq1\iff3m-2\geq1\ \vee\ 3m-2\leq-1\qquad\text{add 2 to both sides}\\\\3m\geq3\ \vee\ 3m\leq1\qquad\text{divide both sides by 3}\\\\m\geq1\ \vee\ m\leq\dfrac{1}{3}$