Question

Solve the inequality |2x - 4/> 2.Then complete the statements below.To solve the inequality, rewrite it into two inequalities: 2x – 4 The values of x that make the inequality true are: x is less thanor xis greater than

Answer 1

|2x - 4| > 2

Rewrite the inequality as:

-2 > 2x - 4 > 2

So:

2x - 4 > 2 (1)

2x - 4 < -2 (2)

Solving for (1)

2x - 4 > 2

Add 4 to both sides:

2x -4 + 4 > 2 + 4

2x > 6

Divide both sides by 2:

2x/2 > 6/2

x > 3

Solving for (2)

2x - 4 < -2

Add 4 to both sides:

2x - 4 + 4 < -2 + 4

2x < 2

Divide both sides by 2:

2x/2 < 2/2

x < 1

Therefore, the solutions are:

x > 3 or x < 1