Question - Solving Inequalities with Variable g
Solution:
The inequality given in the image is:5g + 3 ≤ 37To solve for g, we follow these steps:1. Subtract 3 from both sides to isolate the term with g on one side:5g + 3 - 3 ≤ 37 - 3Which simplifies to:5g ≤ 342. Now, divide both sides by 5 to solve for g:$$ \frac{5g}{5} $$ ≤ $$ \frac{34}{5} $$This gives us:g ≤ 6.8So, any value of g that is less than or equal to 6.8 will satisfy the inequality.Looking at the options provided:- g = 8: this does not satisfy the inequality because 8 is greater than 6.8.- g = 5: this does satisfy the inequality because 5 is less than 6.8.- g = -2: this also satisfies the inequality because -2 is less than 6.8.- g = -1: this too satisfies the inequality because -1 is less than 6.8.Since three of the options satisfy the inequality and we are asked for a solution to the inequality, we have to identify which one of the options is correct. Based on the information provided in the image, it seems we are asked for a single solution, but there are three possible solutions. In this scenario, without further information, it would be best to state that g = 5, g = -2, and g = -1 all are solutions to the given inequality since they all result in a true statement when substituted back into the inequality.
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