Question

Is 25 a solution to any of the inequalities? Which ones

Answer 1

Yes, 25 is a solution to the inequalities (-5, 5)

Given,

25 is the solution to any of the inequalities

To find,

Whether 25 a solution to any of the inequalities?

Solution,

• The inequalities allow one to solve virtually any inequality or system of inequalities in a single variable.

• It can be used to find the accurate solutions

• It can plot the regions satisfied by one or more inequalities in two variables, seeing clearly where the intersections of those regions occur.

• It consists of two or more algebraic expressions joined by inequality symbols. The inequality symbols are :

< less than

> greater than

< = less than or equal to

> = greater than or equal to

! = or < > not equal to

• To find if 25 a solution to any of the inequalities,

consider a standard form,

f(x) = x^2 - 25 < 0.

Firstly solve x^2 - 25 = 0

we get., x = ± 5

Now, Use the algebraic method to solve f(x) < 0.

Here, between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.

So, 25 is a solution to the inequalities (-5, 5)

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