Question

if 16 < x^2 < 25 then find the interval in which x lies
and
If x ∈ (-2 ,5 )then find the interval in which 2 x lies

Answer 1

Step-by-step explanation:

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Answer 2

Concept:

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

A linear inequality is an inequality which involves a linear function. A linear inequality contains one or more inequality.It shows the data which is not equal in graph form.The graphs are formed as area.

< less than

> greater than

≤ less than or equal to

≥ greater than or equal to

≠ not equal to

= equal to

Given:

16 < x² < 25

Find:

find the interval in which x lies

and

If x ∈ (-2 ,5 )then find the interval in which 2 x lies

Solution:

16 < x² < 25

⇒±√16<x<±√25

⇒either

-5<x<-4 or 4<x<5

So we can say x∈(-5,-4)∪(4,5)

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