Question

If x belongs to [1,4] then find the interval in which 1/x lies

Answer 1

Answer:

[1,1/4]

Step-by-step explanation:

x lies between 1and4

1<X<4

then,1/X lies between1and 1/4

Ans: [1,1/4]

hope,it helps you.

Answer 2

Answer:

The given reciprocal of x lies in in the interval

$[ \frac{1}{4} ,1]$

Step-by-step explanation:

Given that,

x belongs to the interval [1,4]

To solve this problem we shall use some inequality rules as below

$x \: belongs \: to \: [a,b] \\ = > a \leqslant x \leqslant b$

Therefore,we can write the inequality as

$1 \leqslant x \leqslant 4$

Another rule is

$if \: a < b \: and \: a \leqslant x \leqslant b \: then \\ \frac{1}{b} \leqslant \frac{1}{x} \leqslant \frac{1}{a}$

Therefore by using above rule we the inequality as

$\frac{1}{4} \leqslant \frac{1}{x} \leqslant \frac{1}{1}$

Therefore,the given reciprocal of x lies in in the interval

$[ \frac{1}{4} ,1]$

#SPJ2