Solving Inequalities with Variable q
Let's solve the inequality given in the image:
5q + 3 < 37
Our first step is to isolate the term with the variable q. To do that, we subtract 3 from both sides of the inequality.
5q + 3 - 3 < 37 - 3
This simplifies to:
5q < 34
Next, we divide both sides by 5 to solve for q:
5q / 5 < 34 / 5
q < 6.8
The value of q must be less than 6.8. Now let's check the provided options to see which one is a solution to the inequality:
a) q = 8
Since 8 is greater than 6.8, this is not a solution.
b) q = 5
Since 5 is less than 6.8, this is a solution.
c) q = 2
Since 2 is less than 6.8, this is also a solution.
d) q = -1
Since -1 is less than 6.8, this is also a solution.
The question asks for a solution to the inequality. The correct answers are the ones where q is less than 6.8. Therefore, the solutions from the given options are q = -1, q = 2, and q = 5. However, since only one option can be chosen and all three are correct, without additional context or instructions, it is impossible to determine which single option the question intends as the answer. However, if the question requires to choose all possible solutions from the options given, then q = 5, q = 2, and q = -1 would all be acceptable solutions.
