Question

Solve the following inequality: 3x + 9 ≤7x -11.

Answer 1

Answer:

5 ≤x

Step-by-step explanation:

3x + 9 ≤7x -11

Subtract 3x from each side

3x-3x + 9 ≤7x-3x -11

9 ≤4x -11

Add 11 to each side

9+11  ≤4x -11+11

20 ≤4x

Divide each side by 4

20/4 ≤4x /4

5 ≤x

Answer 2

Answer:

x ≥ -3

Step-by-step explanation:

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -4x - 12  =   -4 • (x + 3)

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -4

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2      Subtract  3  from both sides

           x ≥ -3

Inequality Plot :

2.3      Inequality plot for

        -4.000 X  - 12.000  ≥  0