Solve the inequality.

Question

3(x-9)+4x>-6

Answer 1

Let's solve the inequality step by step:

3(x - 9) + 4x > -6

First, distribute the 3:
3x - 27 + 4x > -6

Combine like terms:
7x - 27 > -6

Next, add 27 to both sides to isolate the variable:
7x - 27 + 27 > -6 + 27
7x > 21

Finally, divide both sides by 7 to solve for x:
7x/7 > 21/7
x > 3

So the solution to the inequality is x > 3.