Question

Which number line shows the solution to the inequality −2(3x − 1) < 8?

Answer 1

Answer:

x∈ (-1, ∞)

Step-by-step explanation:

Solution of the inequality:

• −2(3x − 1) < 8            ⇒ Divide both sides by -2, this will change inequality    

                                              sign to opposite

• 3x - 1 > -4                 ⇒ add 1 to both sides
• 3x > -3                      ⇒ divide both sides by 3
• x > -1                         ⇒ answer
• x∈ (-1, ∞)                   ⇒ answer as set