To solve the compound inequality, we first solve each part separately:
110 < 2x + 10
Subtracting 10 from both sides:
100 < 2x
Dividing by 2:
50 < x
2x + 10 < 310
Subtracting 10 from both sides:
2x < 300
Dividing by 2:
x < 150
Combining the two inequalities, we get:
50 < x < 150
Therefore, Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates. The correct answer is:
x > 50 and x < 150; Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.