Final answer:
To solve the inequality 3(3x + 5) > -(14 - 4x), we first distribute the 3 and -1 to their respective expressions, resulting in 9x + 15 > -14 + 4x. We then get terms with x on one side leading to 5x + 15 > -14 and subtract 15 from both sides to get 5x > -29. Dividing by 5 gives x > -29/5 or x greater than -5.8.
Step-by-step explanation:
Let's start by solving the linear inequality 3(3x + 5) > -(14 - 4x). First, distribute the 3 on the left side to get 9x + 15 and distribute -1 on the right side to get -14 + 4x.
The inequality then becomes 9x + 15 > -14 + 4x. Next, subtract 4x from both sides to bring all terms involving x to one side. This results in 5x + 15 > -14.
Subtract 15 from both sides to isolate 5x, resulting in 5x > -29. Finally, divide by 5 to solve for x. The final inequality is x > -29/5, which means that x is greater than -5.8.
Learn more about Solving Linear Inequality