Write an inequality to Represent the situation.
The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk, m, and cups of juice, j, a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?

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Solution

Let $m =$ number of cups of milk
$j =$ number of cups of juice
One cup of milk contains $299$ mg of calcium
One cup of juice contains $261$ mg of calcium
To write an inequality that represents meeting or exceeding the recommended $1, 000$ mg of daily calcium intake.
$299 m + 261 j \geq 1, 000$ {the $\geq$ sign shows that it may meet or exceed $1, 000$ mg}

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