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Solution inequality：
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Inequality Computation > Answer
Overview: 5 questions will be solved this time.Among them
☆2 inequalities
☆3 equations
[ 1/5Inequality]
Assignment:Find the solution set of inequality e^a+e^(-a) ≥-2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
e ^ a + e ^ ( -a ) ≥ -2 (1)
From inequality(1)：
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
[ 2/5 Equation]
Work: Find the solution of equation e^a+e^(-a) = 0 .
Question type: Equation
Solution: This equation has no real solution!
[ 3/5 Equation]
Work: Find the solution of equation e^a+e^(-a) = (√5-1)÷2 .
Question type: Equation
Solution: This equation has no real solution!
[ 4/5Inequality]
Assignment:Find the solution set of inequality cos(a) ≥-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
cos ( a ) ≥ -1 (1)
From inequality(1)：
a ≤ -3926991/250000 或 -3926991/250000 ≤ a ≤ -4712389/500000 或 -4712389/500000 ≤ a ≤ -4712389/500000 或 -4712389/500000 ≤ a ≤ -3141593/1000000 或 -3141593/1000000 ≤ a ≤ -3141593/1000000 或 -3141593/1000000 ≤ a ≤ 3141593/1000000 或 3141593/1000000 ≤ a ≤ 3141593/1000000 或 3141593/1000000 ≤ a ≤ 4712389/500000 或 4712389/500000 ≤ a ≤ 4712389/500000 或 4712389/500000 ≤ a ≤ 15707963/1000000 或 a ≥ 15707963/1000000
The final solution set is :
a ≤ -3926991/250000 或 -3926991/250000 ≤ a ≤ -4712389/500000 或 -4712389/500000 ≤ a ≤ -4712389/500000 或 -4712389/500000 ≤ a ≤ -3141593/1000000 或 -3141593/1000000 ≤ a ≤ -3141593/1000000 或 -3141593/1000000 ≤ a ≤ 3141593/1000000 或 3141593/1000000 ≤ a ≤ 3141593/1000000 或 3141593/1000000 ≤ a ≤ 4712389/500000 或 4712389/500000 ≤ a ≤ 4712389/500000 或 4712389/500000 ≤ a ≤ 15707963/1000000 或 a ≥ 15707963/1000000
[ 5/5 Equation]
Work: Find the solution of equation 2cos(a) = e+1÷e .
Question type: Equation
Solution: This equation has no real solution!