Step 1. The inequality we have is:

And we are asked to find the solution in interval notation.
The first step will be to apply the distributive property on the right-hand side of the inequality to solve the expression 7(8-2x). The distributive property tells us to multiply 7 by 8 and also 7 by -2, the resulting expression is:

here, 56 comes from 7*8, and -14x comes from multiplying 7 times -2x.
Step 2. The next step will be to have all of the terms containing x on one side of the inequality. For this, we add 14x to both sides of the inequality:

On the left-hand side -3x+14x is equal to 11x:

and on the right-hand side, -14x+14x cancel each other:

Step 3. The next step is to add the like terms on the right-hand side:

And in order to leave the term 11x alone on the left side of the inequality, we subtract 2 to both sides:

Step 4. To solve for x, divide both sides by 11:

the result is:

Step 5. Since the result is that x is greater or equal to 6, in interval notation we will have the following expression to represent this result:

This means that the final solutions are the numbers going from 6 to infinity.
Answer:
