Question

Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
50 < 2x + 10 and 2x + 10 < 110

Solve for x in this inequality, and explain what the answer represents.​

Answer 1

Answer:

20 < x < 50:

Malcolm should consume between 20 and 50 grams of carbs, exclusively.

Step-by-step explanation:

In the first inequality:

$50$

In the second:

$2x+10$

So, $20$.

This means that Malcolm should consume between 20 and 50 grams of carbs, excluding 20 and 50.