Question

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

Answer 1

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 $[1250,1350)$.