Overview: 4 questions will be solved this time.Among them
☆4 inequalities
[ 1/4Inequality]
Assignment:Find the solution set of inequality (58x1+58x2+65.25x3+45.75x4)/(x1+x2+x3+x4) >= 58 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 58 * x * 1 + 58 * x * 2 + 65.25 * x * 3 + 45.75 * x * 4 ) / ( x * 1 + x * 2 + x * 3 + x * 4 ) >= 58 (1)
From the definition field of divisor
x * 1 + x * 2 + x * 3 + x * 4 ≠ 0 (2 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x < 0 或 x > 0
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
[ 2/4Inequality]
Assignment:Find the solution set of inequality (1.2x1+0.2x2+0.25x3+0.75x4)/(x1+x2+x3+x4) <= 1.3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1.2 * x * 1 + 0.2 * x * 2 + 0.25 * x * 3 + 0.75 * x * 4 ) / ( x * 1 + x * 2 + x * 3 + x * 4 ) <= 1.3 (1)
From the definition field of divisor
x * 1 + x * 2 + x * 3 + x * 4 ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (3)
The final solution set is :
x < 0 或 x > 0[ 3/4Inequality]
Assignment:Find the solution set of inequality (0.03x1+0.1x2+0.003x3+0.1x4)/(x1+x2+x3+x4) <= 0.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 0.03 * x * 1 + 0.1 * x * 2 + 0.003 * x * 3 + 0.1 * x * 4 ) / ( x * 1 + x * 2 + x * 3 + x * 4 ) <= 0.1 (1)
From the definition field of divisor
x * 1 + x * 2 + x * 3 + x * 4 ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (3)
The final solution set is :
x < 0 或 x > 0[ 4/4Inequality]
Assignment:Find the solution set of inequality (0.2x1+0.2x2+0.25x3+0.75x4)/(x1+x2+x3+x4) <= 1.2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 0.2 * x * 1 + 0.2 * x * 2 + 0.25 * x * 3 + 0.75 * x * 4 ) / ( x * 1 + x * 2 + x * 3 + x * 4 ) <= 1.2 (1)
From the definition field of divisor
x * 1 + x * 2 + x * 3 + x * 4 ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (3)
The final solution set is :
x < 0 或 x > 0Your problem has not been solved here? Please go to the Hot Problems section!