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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: 3 questions will be solved this time.Among them
☆1 inequalities
☆2 equations
[ 1/3Inequality]
Assignment:Find the solution set of inequality 16x+11(10-x) >= 145 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
16 * x + 11 * ( 10 - x ) >= 145 (1)
From inequality(1)：
x ≥ 7
The final solution set is :
x ≥ 7
[ 2/3 Equation]
Work: Find the solution of equation (90-a)*16*7+80*11*3 = (90-a)*16*8+80*11*2 .
Question type: Equation
Solution:Original question:
| ( | 90 | − | a | ) | × | 16 | × | 7 | + | 80 | × | 11 | × | 3 | = | ( | 90 | − | a | ) | × | 16 | × | 8 | + | 80 | × | 11 | × | 2 |
| Left side of the equation = | ( | 90 | − | a | ) | × | 112 | + | 2640 |
| ( | 90 | − | a | ) | × | 112 | + | 2640 | = | ( | 90 | − | a | ) | × | 16 | × | 8 | + | 80 | × | 11 | × | 2 |
| Left side of the equation = | 90 | × | 112 | − | a | × | 112 | + | 2640 |
| = | 10080 | − | a | × | 112 | + | 2640 |
| = | 12720 | − | 112 | a |
| 12720 | − | 112 | a | = | ( | 90 | − | a | ) | × | 16 | × | 8 | + | 80 | × | 11 | × | 2 |
| Right side of the equation = | ( | 90 | − | a | ) | × | 128 | + | 1760 |
| 12720 | − | 112 | a | = | ( | 90 | − | a | ) | × | 128 | + | 1760 |
| Right side of the equation = | 90 | × | 128 | − | a | × | 128 | + | 1760 |
| = | 11520 | − | a | × | 128 | + | 1760 |
| = | 13280 | − | 128 | a |
| 12720 | − | 112 | a | = | 13280 | − | 128 | a |
Transposition :
| - | 112 | a | + | 128 | a | = | 13280 | − | 12720 |
Combine the items on the left of the equation:
| 16 | a | = | 13280 | − | 12720 |
Combine the items on the right of the equation:
| 16 | a | = | 560 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 560 | ÷ | 16 |
| = | 560 | × | 1 16 |
| = | 35 | × | 1 |
We obtained :
| a | = | 35 |
[ 3/3 Equation]
Work: Find the solution of equation (90-a)*16*8+80*11*2 = (90-a)*16*9+80*11 .
Question type: Equation
Solution:Original question:
| ( | 90 | − | a | ) | × | 16 | × | 8 | + | 80 | × | 11 | × | 2 | = | ( | 90 | − | a | ) | × | 16 | × | 9 | + | 80 | × | 11 |
| Left side of the equation = | ( | 90 | − | a | ) | × | 128 | + | 1760 |
| ( | 90 | − | a | ) | × | 128 | + | 1760 | = | ( | 90 | − | a | ) | × | 16 | × | 9 | + | 80 | × | 11 |
| Left side of the equation = | 90 | × | 128 | − | a | × | 128 | + | 1760 |
| = | 11520 | − | a | × | 128 | + | 1760 |
| = | 13280 | − | 128 | a |
| 13280 | − | 128 | a | = | ( | 90 | − | a | ) | × | 16 | × | 9 | + | 80 | × | 11 |
| Right side of the equation = | ( | 90 | − | a | ) | × | 144 | + | 880 |
| 13280 | − | 128 | a | = | ( | 90 | − | a | ) | × | 144 | + | 880 |
| Right side of the equation = | 90 | × | 144 | − | a | × | 144 | + | 880 |
| = | 12960 | − | a | × | 144 | + | 880 |
| = | 13840 | − | 144 | a |
| 13280 | − | 128 | a | = | 13840 | − | 144 | a |
Transposition :
| - | 128 | a | + | 144 | a | = | 13840 | − | 13280 |
Combine the items on the left of the equation:
| 16 | a | = | 13840 | − | 13280 |
Combine the items on the right of the equation:
| 16 | a | = | 560 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 560 | ÷ | 16 |
| = | 560 | × | 1 16 |
| = | 35 | × | 1 |
We obtained :
| a | = | 35 |