At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?490x + 700y < 4000  490x + 700y ≤ 4000  490x + 700y  > 4000  490x + 700y ≥ 4000

Mathematics · High School · Thu Feb 04 2021

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Given the statement:

At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week.

Determine the inequality that represents the statement:

Explanation:

Since her doctor said that her sodium intake must not be more thatn 4000, this means that the inequality sign must not have an equal to. Hence, it must not also be greater than 4000. In such case, the inequality equation that satisfies the two conditions is

490x + 700y < 4000

Final answer:

490x + 700y < 4000