Overview: 4 questions will be solved this time.Among them
☆4 inequalities
[ 1/4Inequality]
Assignment:Find the solution set of inequality X/X+1 >= -1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
X / X + 1 >= -1 (1)
From the definition field of divisor
x ≠ 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[ 2/4Inequality]
Assignment:Find the solution set of inequality X/X+1 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
X / X + 1 >0 (1)
From the definition field of divisor
x ≠ 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 X/X+1 <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
X / X + 1 <= 1 (1)
From the definition field of divisor
x ≠ 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.
[ 4/4Inequality]
Assignment:Find the solution set of inequality X/X+1 <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
X / X + 1 <0 (1)
From the definition field of divisor
x ≠ 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.
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