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Assignment:Find the solution set of inequality 0.5*sqrt(16-x)+0.5sqrt(4-x) >= 2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.5 * sqrt ( 16 - x ) + 0.5 * sqrt ( 4 - x ) >= 2 (1)
From the definition field of √
16 - x ≥ 0 (2 )
From the definition field of √
4 - x ≥ 0 (3 )
From inequality(1):
x ≤ 15/4
From inequality(2):
x ≤ 16
From inequality(3):
x ≤ 4
From inequalities (1) and (2)
x ≤ 15/4 (4)
From inequalities (3) and (4)
x ≤ 15/4 (5)
The final solution set is :
x ≤ 15/4Your problem has not been solved here? Please take a look at the hot problems !