Solution assignment 04 Inequalities with fractions

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Assignment 4

Solve:

\displaystyle\frac{-3.2}{x+1}<0

Solution

It is less easy to work with negative numbers and therefore we divide left- and right-hand side by -3.2. Then we get (note that dividing by a negative number changes the direction of the inequality sign) :

\displaystyle\frac{1}{x+1}>0

The numerator is positive for all values of x and thus the fraction will be positive if also the denominator will be greater than 0, so if:

x>-1

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