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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt((t-9)^2+16)+t-9 ≥0.5t+1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( t - 9 ) ^ 2 + 16 ) + t - 9 ≥0.5 * t + 1 (1)
From the definition field of √
( x - 9 ) ^ 2 + 16 ≥ 0 (2 )
From inequality(1):
t ≤ -0.362669 或 t ≥ 11.029336
From inequality(2):
t ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
t ≤ -0.362669 或 t ≥ 11.029336 (3)
The final solution set is :
t ≤ -0.362669 或 t ≥ 11.029336Your problem has not been solved here? Please take a look at the hot problems !