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:

$50<2x+10\\40<2x\\20<x$

In the second:

$2x+10<110\\2x<100\\x < 50$

So, $20<x<50$.

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

Answer 2

Answer:

20 < x < 50:

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

Step-by-step explanation:

In the first inequality:

In the second:

So, .

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

Step-by-step explanation: