Mister Exam

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Inequation:
x-5/(2x-1)^2>0
sgrt(2*x+3)<x
5^(x^2+x)>-1
tan(3*x+pi/6)<0
Derivative of:
sin((x+3)/2)
Identical expressions
sin((x+ three)/ two)>=-sin^ two *((x+ three)/ two)-cos^ two *((x+ three)/ two)
sinus of ((x plus 3) divide by 2) greater than or equal to minus sinus of squared multiply by ((x plus 3) divide by 2) minus co sinus of e of squared multiply by ((x plus 3) divide by 2)
sinus of ((x plus three) divide by two) greater than or equal to minus sinus of to the power of two multiply by ((x plus three) divide by two) minus co sinus of e of to the power of two multiply by ((x plus three) divide by two)
sin((x+3)/2)>=-sin2*((x+3)/2)-cos2*((x+3)/2)
sinx+3/2>=-sin2*x+3/2-cos2*x+3/2
sin((x+3)/2)>=-sin²*((x+3)/2)-cos²*((x+3)/2)
sin((x+3)/2)>=-sin to the power of 2*((x+3)/2)-cos to the power of 2*((x+3)/2)
sin((x+3)/2)>=-sin^2((x+3)/2)-cos^2((x+3)/2)
sin((x+3)/2)>=-sin2((x+3)/2)-cos2((x+3)/2)
sinx+3/2>=-sin2x+3/2-cos2x+3/2
sinx+3/2>=-sin^2x+3/2-cos^2x+3/2
sin((x+3) divide by 2)>=-sin^2*((x+3) divide by 2)-cos^2*((x+3) divide by 2)
Similar expressions
sinx+3/2>=(-sin^2)x+3/2-cos^2x+3/2
sin((x+3)/2)>=-sin^2*((x+3)/2)-cos^2*((x-3)/2)
sinx+3/2>=-sin2x+3/2-cos2x+3/2
sin((x+3)/2)>=-sin^2*((x+3)/2)+cos^2*((x+3)/2)
sin(x+3/2)>=-sin(x+3/2)^2-cos(x+3/2)^2
sinx+3/2>=sin^2x+3/2-cos^2x+3/2
sin((x+3)/2)>=+sin^2*((x+3)/2)-cos^2*((x+3)/2)
sin((x+3)/2)>=-sin^2*((x-3)/2)-cos^2*((x+3)/2)
sin((x-3)/2)>=-sin^2*((x+3)/2)-cos^2*((x+3)/2)

sin((x+3)/2)>=-sin^2((x+3)/2)-cos^2((x+3)/2) inequation

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   /x + 3\         2/x + 3\      2/x + 3\
sin|-----| >= - sin |-----| - cos |-----|
   \  2  /          \  2  /       \  2  /

$$\sin{\left(\frac{x + 3}{2} \right)} \geq - \sin^{2}{\left(\frac{x + 3}{2} \right)} - \cos^{2}{\left(\frac{x + 3}{2} \right)}$$

sin((x + 3)/2) >= -sin((x + 3)/2)^2 - cos((x + 3)/2)^2

Solving inequality on a graph

sin((x+3)/2)>=-sin^2*((x+3)/2)-cos^2*((x+3)/2) inequation