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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (x-1)(√x^2-x-12) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x - 1 ) * ( √ x ^ 2 - x - 12 ) >= 0 (1)
From the definition field of √
x ≥ 0 (2 )
From inequality(1):
x ≤ 1
From inequality(2):
x ≥ 0
From inequalities (1) and (2)
0 ≤ x ≤ 1 (3)
The final solution set is :
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