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A number, t, truncated to 1 d.p., is 14.8. Write an inequality to show the lower and upper bounds of t.

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User Mitenka
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1 Answer

4 votes

Final answer:

The inequality for the lower and upper bounds of a number t, when truncated to 1 decimal place as 14.8, is 14.75 ≤ t < 14.85.

Step-by-step explanation:

When a number t is truncated to 1 decimal place (d.p.) as 14.8, we are considering numbers that can be rounded to 14.8 at one decimal place. The smallest such number is 14.75, because if t were any smaller, it would round down to 14.7 instead of rounding up to 14.8. The largest possible value that would round down to 14.8 is just less than 14.85 because 14.85 would round up to 14.9. Therefore, the inequality for the lower and upper bounds of t can be written as:

14.75 ≤ t < 14.85

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User Jlhoward
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