Which of the following is equivalent to: 6 - 2x > 3(4x - 2)?

14x < 12

Step-by-step explanation:

Given

6 - 2x > 3(4x - 2) ← distribute right side

6 - 2x > 12x - 6 ( subtract 12x from both sides )

6 - 14x > - 6 ( subtract 6 from both sides )

- 14x > - 12

Multiply both sides by - 1, reversing the inequality symbol as a consequence of multiplying by a negative quantity, thus

14x < 12

Using the synthetic division algorithm (see attached for a completed table), we have