Solve the inequality 3u+3(u+1)>2u+7 and write the solution in interval notation.

Given:

The given inequality is

We need to determine the solution of the inequality in interval notation.

Solution of the inequality:

The solution of the inequality can be determined by simplifying the inequality.

Thus, we have,

Subtracting both sides by 3, we get;

Subtracting both sides by 2u, we have;

Dividing both sides by 4, we get;

Writing it in interval notation, we get;

Thus, the solution of the inequality is