Question

Solve 12t-2<-5t+3612t-2<-5t+36?

Answer 1

To solve the inequality 12t-2<-5t+36, follow these steps: add 5t to both sides, combine like terms, add 2 to both sides, combine like terms, and divide by 17. The solution is t < 38/17.

Step-by-step explanation:

To solve the inequality 12t-2<-5t+36, we need to isolate the variable t. Here are the steps:

1. Add 5t to both sides of the inequality to get rid of the -5t term: 12t - 2 + 5t < -5t + 36 + 5t
2. Combine like terms: 17t - 2 < 36
3. Add 2 to both sides of the inequality to isolate the term with t: 17t - 2 + 2 < 36 + 2
4. Combine like terms: 17t < 38
5. Divide both sides of the inequality by 17 to solve for t: t < 38/17

Therefore, the solution to the inequality is t < 38/17.