Question - Solving Inequality 5q + 3 < 37
Solution:
To solve the inequality 5q + 3 < 37, we want to isolate the variable q. We'll do this by first subtracting 3 from both sides of the inequality to eliminate the constant term on the left side:5q + 3 - 3 < 37 - 35q < 34Next, we'll divide both sides of the inequality by 5 to solve for q:5q / 5 < 34 / 5q < 6.8So we're looking for a value of q that is less than 6.8. Among the options provided:- q = -8 is less than 6.8.- q = -5 is less than 6.8.- q = -2 is less than 6.8.- q = -1 is less than 6.8.All the given options for q are less than 6.8, meaning they all satisfy the inequality 5q + 3 < 37. Therefore, they are all correct solutions to the inequality.
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