Solving the following inequation:
(x - 8) (x + 1) > 0
We are going to find the sign both parts of the multiplication,
(x - 8) and (x + 1), have when
x < - 8
-8 < x < 1
1 < x
Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive
We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1
Then
Answer:B
If a number is rational it means, it can be written in the form of , where q≠0 and p and q can be any integers.
There are following properties possessed by Rational numbers
1. Decimal representation of Rational numbers are either terminating or non terminating repeating i.e if the denominator is of the form where m and n are any natural number.
2. Addition ,Subtraction ,Multiplication and Division of two rationals is always Rational.
3. The sum or difference of rational and irrational is always irrational.