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- Square Inequality Step-by-Step
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How to use it?
- Inequation:
- 8−x⩾9x−6
- (3*x^2-17*x+18)/(x^2-5*x+4)<2
- 18x^2-6x+4<0
- ∣x∣<10
- Sum of series:
- sinx
- Graphing y =:
- sinx
- Integral of d{x}:
-
sinx
-
Identical expressions
- sinx<=sqr(two)/ two
- sinus of x less than or equal to sqr(2) divide by 2
- sinus of x less than or equal to sqr(two) divide by two
- sinx<=sqr2/2
- sinx<=sqr(2) divide by 2
-
Similar expressions
- -3sin(x)<=6
- sin(x)>a
- 3<(sin(x)+cos(x))/(sin(x)-cos(x))
- 1-4sin(x)^2>0
- sin(x)<sort/2
sinx<=sqr(2)/2 inequation
The solution
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2
2
sin(x) <= --
2
$$\sin{\left(x \right)} \leq \frac{2^{2}}{2}$$
sin(x) <= 2^2/2
Detail solution
Given the inequality:
$$\sin{\left(x \right)} \leq \frac{2^{2}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(x \right)} = \frac{2^{2}}{2}$$
Solve:
Given the equation
$$\sin{\left(x \right)} = \frac{2^{2}}{2}$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$x_{1} = \pi - \operatorname{asin}{\left(2 \right)}$$
$$x_{2} = \operatorname{asin}{\left(2 \right)}$$
Exclude the complex solutions:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
$$\sin{\left(0 \right)} \leq \frac{2^{2}}{2}$$
so the inequality is always executed
$$\sin{\left(x \right)} \leq \frac{2^{2}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(x \right)} = \frac{2^{2}}{2}$$
Solve:
Given the equation
$$\sin{\left(x \right)} = \frac{2^{2}}{2}$$
- this is the simplest trigonometric equation
As right part of the equation
modulo =
True
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$x_{1} = \pi - \operatorname{asin}{\left(2 \right)}$$
$$x_{2} = \operatorname{asin}{\left(2 \right)}$$
Exclude the complex solutions:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$\sin{\left(0 \right)} \leq \frac{2^{2}}{2}$$
0 <= 2
so the inequality is always executed
Solving inequality on a graph