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

User Emonik
by
4.5k points

2 Answers

1 vote

Answer:

x ≥ -3

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

User Miaonster
by
4.8k points
4 votes

Answer:

5 ≤x

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

User Zef
by
5.0k points