Answer:

Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:

So, let's solve both inequalities.
1)

Subtract 10 from both sides:

Divide both sides by 2:

2)

Subtract 10 from both sides:

Divide both sides by 2:

So, our inequality is now:

Since we solved the equations:

Written as a compound inequality, this is:

In other words, Ryan would like to eat <em>more than</em> 50 carbs per day, but <em>no more than</em> 150 carbs per day.
So, Ryan's total carb intake must be <em>between </em>50 and 150 carbs.