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WILL MARK BRAINLIEST
Ashlynn is trying a low-carbohydrate diet. She would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality: 460 < 2x + 10 and 2x + 10 < 660 Solve for x in the inequality, and explain what the answer represents.

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musiclover10045

460 < 2x + 10 and 2x + 10 < 660

Solve x in each equation:

Rewrite so X is on the left side:

2x +10 >460

Subtract 10 from each side:

2x > 450

Divide both sides by 2:

x > 450 /2

x > 225

2x +10 <660

Subtract 10 from both sides:

2x < 650

Divide both sides by 2:

x < 650 / 2

x < 325

Combine the answer: 225 < x < 325

This means her carb intake needs to be more than 225 and less than 325 grams.

Answer:

225 < x < 325

It represents the amount of carbs consumed is between 225 grams and 325 grams.

Step-by-step explanation:

Given compound inequality:

460 < 2x + 10 and 2x + 10 < 660

460-10 < 2x and 2x < 660 - 10

450 < 2x and 2x < 650

225 < x and x < 325

⇒ 225 < x < 325

Which is the solution of the given compound inequality .

∵ The inequality represents the level in which the amount of carbs consumed in grams lies,

Hence, 225 < x < 325 will represent the amount of carbs consumed is between 225 grams and 325 grams.

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