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Olegator [25]
2 years ago
8

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

the following compound inequality:
110 < 2x + 10 and 2x + 10 < 310

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

x > 50 and x < 150; Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.
x < 50 and x > 150; Ryan needs to consume less than 50 grams of carbohydrates or more than 150 grams of carbohydrates.
x > 60 and x < 160; Ryan needs to consume more than 60 grams of carbohydrates, but less than 160 grams of carbohydrates.
x < 60 and x > 160; Ryan needs to consume less than 60 grams of carbohydrates or more than 160 grams of carbohydrates.
Mathematics
1 answer:
pentagon [3]2 years ago
8 0

Compound inequality combines multiple single inequalities.

The solution and interpretation of the inequality is:

<em />x > 50<em> and </em>x < 150<em>.  Ryan needs to consume more than 50 grams of carbohydrates, but less than 150 grams of carbohydrates.</em>

<em />

We have:

110 < 2x + 10 and 2x + 10< 310

Solve for x in both inequalities

110 < 2x + 10

110 -10 < 2x

100 < 2x

Divide both sides by 2

50 < x

Rewrite as:

x > 50

Also, we have:

2x + 10< 310

2x< 310 - 10

2x< 300

Divide by 2

x < 150

So, the solutions to the inequalities are:

x > 50 and x < 150

This means that Ryan needs to consume more than 50 but less than 150 grams of carbohydrates.

Hence, (a) is correct

Read more about compound inequalities at:

brainly.com/question/13290962

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