Given:
The given inequality is [tex]3u+3(u+1)>2u+7[/tex]
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,
[tex]3u+3u+3>2u+7[/tex]
[tex]6u+3>2u+7[/tex]
Subtracting both sides by 3, we get;
[tex]6 u>2 u+4[/tex]
Subtracting both sides by 2u, we have;
[tex]4 u>4[/tex]
Dividing both sides by 4, we get;
[tex]u>1[/tex]
Writing it in interval notation, we get;
[tex](1, \infty)[/tex]
Thus, the solution of the inequality is [tex](1, \infty)[/tex]
