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Solve the inequality 6w + 5 > 2(3w + 3).

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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.

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