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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (4x-32)(8-2x)+(3x-23) <(x-5)(x-4)+18 >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
( 4 * x - 32 ) * ( 8 - 2 * x ) + ( 3 * x - 23 ) < ( x - 5 ) * ( x - 4 ) + 18 (1)
( x - 5 ) * ( x - 4 ) + 18 >= 0 (2)
From inequality(1):
x < 5.118083 或 x > 6.881917
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < 5.118083 或 x > 6.881917 (3)
The final solution set is :
x < 5.118083 或 x > 6.881917Your problem has not been solved here? Please take a look at the hot problems !