Final answer:
The value of G that satisfies the inequality 95 - 4G < 40 + 5G is found by isolating G, which yields G > 6.11. Comparing this with the multiple-choice options, the smallest valid answer is option B) G = 10.
Step-by-step explanation:
To find the value of G that satisfies the equation 95 - 4G < 40 + 5G, we begin by consolidating like terms. We can do this by adding 4G to both sides of the inequality and subtracting 40 from both sides, which gives us G on one side and constants on the other:
95 - 4G + 4G < 40 + 5G + 4G
95 - 40 < 9G
55 < 9G
Next, we divide both sides by 9 to isolate G:
55 / 9 < G
After dividing, we find that G must be greater than 6.11. Looking at our multiple-choice options, we see that G = 10 and G = 15 are both greater than 6.11. However, since it is an inequality, we select the smallest value that is larger than 6.11, which is option B) G = 10.