Question

Solve the inequality symbolically:

5(x - 14) + 2 > 0

Answer 1

To solve the inequality 5(x - 14) + 2 > 0, distribute the 5, combine like terms, and isolate x to find that x must be greater than 13.6.

Step-by-step explanation:

To solve the inequality symbolically: 5(x - 14) + 2 > 0, follow these steps:

1. Distribute the 5 into the parenthesis: 5x - 70 + 2 > 0.
2. Combine like terms: 5x - 68 > 0.
3. Isolate x by adding 68 to both sides of the inequality: 5x > 68.
4. Finally, divide both sides by 5 to solve for x: x > 13.6.

So, the solution to the inequality is any x that is greater than 13.6.