Final answer:
To solve the inequality 6w + 5 > 2(3w + 3), we expand and simplify the inequality to find it reduces to 5 > 6, which is untrue, indicating no solution exists for w.
Step-by-step explanation:
Solving the Inequality
To solve the inequality 6w + 5 > 2(3w + 3), we first expand the right side of the inequality:
6w + 5 > 6w + 6. Then, we subtract 6w from both sides of the inequality to simplify it: 5 > 6. However, this statement is not true, indicating that there are no solutions to this inequality. The initial inequality simplifies to an untrue statement, which means no value of w can satisfy the inequality.
Steps to solve the inequality include:
Expand the terms on the right side of the inequality.
Eliminate terms wherever possible to simplify the algebra.
Check the answer to see if it is reasonable.