To solve the compound inequality, we first solve each inequality separately:
1) 50 < 2x + 10
Subtract 10 from both sides:
40 < 2x
Divide by 2:
20 < x
2) 2x + 10 < 110
Subtract 10 from both sides:
2x < 100
Divide by 2:
x < 50
So, combining the two inequalities, we have:
20 < x < 50
This means Malcolm needs to consume more than 20 grams of carbohydrates but less than 50 grams of carbohydrates. Therefore, the correct answer is:
x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.