Solving Inequality 5q + 3 < 37
To solve the inequality 5q + 3 < 37, follow these steps:
1. Subtract 3 from both sides to isolate the term with the variable q:
5q + 3 - 3 < 37 - 3
5q < 34
2. Divide both sides by 5 to solve for q:
5q/5 < 34/5
q < 6.8
Now let's check the provided options to determine which one is a solution:
- q = -8: This is indeed less than 6.8, so it is a possible solution.
- q = -5: This is also less than 6.8, so it is a possible solution.
- q = -2: Similarly, this is less than 6.8, so it is a possible solution.
- q = -1: This, too, is less than 6.8, so it is a possible solution.
All the provided options are less than 6.8. Therefore, all of the given options are solutions to the inequality 5q + 3 < 37.
