Question

Solve for X, please show work!

Answer 1

Answer:

x < -2 or x > 10/3

Step-by-step explanation:

3x - 2 > 8

3x > 10

x > 10/3

-3x + 2 > 8

-3x > 6

x < -2

x < -2 or x > 10/3

Answer 2

Answer:

the solution set consists of {x < -2 ∪ x > 10/3}

Step-by-step explanation:

|3x - 2| > 8 is equivalent to the following set of inequalities:

1) 3x - 2 > 8

and

2) -(3x - 2) > 8

In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.

In case 2, above, carry out the indicated multiplication first:

-3x + 2 > 8.  Next, subtract 2 from both sides:  -3x > 6.

Next, divide both sides by -3, remembering to reverse the direction of the inequality sign:  x < -2.

Thus, the solution set consists of {x < -2 ∪ x > 10/3}