Solve the inequality: 3[m-4]>6.

[]=the straight lines indicating inequality.

Thanks for the assistance.

3[m-4]>6

[m-4]>2
so m-4 >2 OR -m+4 > 2
m > 6 OR -m > -2
m > 6 OR m < 2

To solve the inequality 3[m-4] > 6, we need to isolate the variable m.

First, let's simplify the expression on the left side of the inequality:
3[m-4] > 6
Distribute the 3:
3m - 12 > 6

Next, let's add 12 to both sides to get rid of the -12 on the left side:
3m - 12 + 12 > 6 + 12
This becomes:
3m > 18

Now, we want to isolate m by dividing both sides of the inequality by 3:
3m/3 > 18/3
This simplifies to:
m > 6

So the solution to the inequality 3[m-4] > 6 is m > 6.

To solve the inequality 3[m - 4] > 6, let me break it down step by step:

Step 1: Distribute the 3 on the left side of the inequality:
3m - 12 > 6.

Step 2: Add 12 to both sides to isolate the variable:
3m > 6 + 12,
3m > 18.

Step 3: Divide both sides of the inequality by 3 to solve for m:
(m > 18/3).

Simplifying further, we get:
m > 6.

So, the solution to the inequality is m > 6.

Remember, when solving inequalities, always follow these steps:
1. Distribute any coefficients.
2. Combine like terms if possible.
3. Isolate the variable on one side of the inequality.
4. Simplify the inequality if necessary.
5. Remember to reverse the inequality sign if you multiply or divide by a negative number.

I hope this helps! Let me know if you have any further questions.