0.6x + 4 < 1.0x - 1

6x + 40 < 10x - 10
4x > 50
x > 12.5

can someone please check my work and tell me if I am right?

correct, I would have not multiplied by 10 at first.

7+6^2 divided 3

To check your work for the inequality 0.6x + 4 < 1.0x - 1, let's go through the steps you provided:

1. 0.6x + 4 < 1.0x - 1 (Given inequality)

2. Subtract 0.6x from both sides of the inequality to isolate the terms containing the variable x:
0.6x + 4 - 0.6x < 1.0x - 1 - 0.6x
4 < 0.4x - 1

3. Add 1 to both sides to further isolate the terms containing x:
4 + 1 < 0.4x - 1 + 1
5 < 0.4x

4. Divide both sides by 0.4 to solve for x:
5 / 0.4 < 0.4x / 0.4
12.5 < x

So, based on your work, you correctly obtained x > 12.5 as the solution to the inequality. Great job!