Hello ! This is the second note in the series Inequalities.
If and [ Transition property ]
If , then:
In other words, the sign of inequality flips if we multiply a negative real number to both side. For example: . Which is definitely true.
If , then:
In other words, the sign of inequality flips if we divide both sides by a negative real number.
1. Find the range of values of satisfying the inequality: Solution: Thus the answer is:
1. Find the range of values of in interval form, satisfying the inequality: Where is number of irrational roots of:
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