A number, x, rounded to 2 significant figures is 1300Write down the error interval for x.

Mathematics

1 answer:

nikitadnepr [17]3 years ago

7 0

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

1350 is not included in the error interval for x.

Interval notation is $[1250,1350)$ .

Therefore, the error interval for x is $[1250,1350)$ .

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