Question

Solve the inequality 2x + 8 < 5x − 4.

x > 4

x > 1

x < 1

x < 4

Answer 1

The answer should be X>4

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

2*x+8-(5*x-4)<0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

-3x + 12 = -3 • (x - 4)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by -3

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Add 4 to both sides

x > 4