Question Video: Solving One-Step Linear Inequalities Mathematics

Given that 𝑥 is a whole number and 9/25 < 𝑥/25 < 14/25, what are the possible values of 𝑥?

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Video Transcript

Given that 𝑥 is a whole number and 𝑥 over 25 is greater than nine over 25 but less than 14 over 25, what are the possible values of 𝑥?

We will begin by considering the inequality in the question. 𝑥 over 25 is greater than nine over 25 but less than 14 over 25. Multiplying each of these terms by 25, we see that 𝑥 is greater than nine and less than 14. This can be demonstrated on a number line. We have an open circle at the integers or whole numbers nine and 14. 𝑥 can take any value between these numbers. As we are told in the question that 𝑥 is a whole number, it could take the values 10, 11, 12, and 13. If 𝑥 over 25 is greater than nine over 25 and less than 14 over 25, 𝑥 could be equal to the integer or whole-number values 10, 11, 12, or 13.

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