To solve the inequality 2u + 6 < 6 - 5u, we need to isolate the variable u on one side of the inequality sign. Here's the step-by-step solution:
1. Start by simplifying both sides of the inequality:
2u + 6 < 6 - 5u
2. Combine like terms on each side:
2u + 6 < 6 - 5u
2u + 5u + 6 < 6
7u + 6 < 6
3. Next, subtract 6 from both sides to isolate the variable term:
7u + 6 - 6 < 6 - 6
7u < 0
4. Finally, divide by 7 to solve for u:
7u < 0
u < 0/7
u < 0
Therefore, the solution to the inequality 2u + 6 < 6 - 5u is u < 0. This means that any value of u less than 0 will satisfy the inequality.
