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-
How to use it?
- Inequation:
- 4,5x-4<4,6x+3
- 4^(x^2-x-6)-1>0
- (3*x+1)/(x+2)>0
- y+x^2<=5
- Graphing y =:
- asin(x-1)
- Derivative of:
-
asin(x-1)
- Limit of the function:
-
pi/6
-
Identical expressions
- asin(x- one)>pi/ six
- arc sinus of e of (x minus 1) greater than Pi divide by 6
- arc sinus of e of (x minus one) greater than Pi divide by six
- asinx-1>pi/6
- asin(x-1)>pi divide by 6
-
Similar expressions
- cos((x-pi)/6)>=0
- cos((x-pi)/6)>=(-x)/2
- asin(x+1)>pi/6
- arcsin(x-1)>pi/6
asin(x-1)>pi/6 inequation
The solution
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pi
asin(x - 1) > --
6
$$\operatorname{asin}{\left(x - 1 \right)} > \frac{\pi}{6}$$
asin(x - 1) > pi/6
Detail solution
Given the inequality:
$$\operatorname{asin}{\left(x - 1 \right)} > \frac{\pi}{6}$$
To solve this inequality, we must first solve the corresponding equation:
$$\operatorname{asin}{\left(x - 1 \right)} = \frac{\pi}{6}$$
Solve:
$$x_{1} = \frac{3}{2}$$
$$x_{1} = \frac{3}{2}$$
This roots
$$x_{1} = \frac{3}{2}$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + \frac{3}{2}$$
=
$$\frac{7}{5}$$
substitute to the expression
$$\operatorname{asin}{\left(x - 1 \right)} > \frac{\pi}{6}$$
$$\operatorname{asin}{\left(-1 + \frac{7}{5} \right)} > \frac{\pi}{6}$$
Then
$$x < \frac{3}{2}$$
no execute
the solution of our inequality is:
$$x > \frac{3}{2}$$
$$\operatorname{asin}{\left(x - 1 \right)} > \frac{\pi}{6}$$
To solve this inequality, we must first solve the corresponding equation:
$$\operatorname{asin}{\left(x - 1 \right)} = \frac{\pi}{6}$$
Solve:
$$x_{1} = \frac{3}{2}$$
$$x_{1} = \frac{3}{2}$$
This roots
$$x_{1} = \frac{3}{2}$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + \frac{3}{2}$$
=
$$\frac{7}{5}$$
substitute to the expression
$$\operatorname{asin}{\left(x - 1 \right)} > \frac{\pi}{6}$$
$$\operatorname{asin}{\left(-1 + \frac{7}{5} \right)} > \frac{\pi}{6}$$
pi
asin(2/5) > --
6 Then
$$x < \frac{3}{2}$$
no execute
the solution of our inequality is:
$$x > \frac{3}{2}$$
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x1
Solving inequality on a graph
Rapid solution
This inequality has no solutions