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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 0.78-1.2*t >-2*(t-0.5)^2+4+(2*(t-0.5)^2+1.4)*1.5/(t-4)+(8*(t-0.5)^2-5.6)/(t-4) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.78 - 1.2 * t > -2 * ( t - 0.5 ) ^ 2 + 4 + ( 2 * ( t - 0.5 ) ^ 2 + 1.4 ) * 1.5 / ( t - 4 ) + ( 8 * ( t - 0.5 ) ^ 2 - 5.6 ) / ( t - 4 ) (1)
From the definition field of divisor
x - 4 ≠ 0 (2 )
From the definition field of divisor
x - 4 ≠ 0 (3 )
From inequality(1):
t < -0.387798 或 1.501561 < t < 4 或 t > 9.986237
From inequality(2):
t < 4 或 t > 4
From inequality(3):
t < 4 或 t > 4
From inequalities (1) and (2)
t < -0.387798 或 1.501561 < t < 4 或 t > 9.986237 (4)
From inequalities (3) and (4)
t < -0.387798 或 1.501561 < t < 4 或 t > 9.986237 (5)
The final solution set is :
t < -0.387798 或 1.501561 < t < 4 或 t > 9.986237Your problem has not been solved here? Please take a look at the hot problems !