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Levart [38]
3 years ago
9

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

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0

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

m_a_m_a [10]3 years ago
6 0

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

 

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