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5x - 2 < 3x + 11 --> 5x < 3x + 13 (Add 2) --> 2x < 13 (Subtract 3x) --> x < 13/2 (Divide by 2)

log_{x} (7y+1) - log{x} (2y) =1 --> log_{x} [(7y+1)/2y]=1 (y =/= 0, Rules of logarithms i.e. difference of logarithms) --> x = [(7y+1)/2y] (x>0, Rules of logarithms i.e. log_{x} x = 1) --> 2yx...

Both 'weil' and 'denn' mean 'because', however it is important to remember that they affect the structure of sentences differently:

'Denn' introduces a 'main clause', meaning that ...

Oxygen is absorped into the blood by the process of diffusion. A large surface area, short diffusion pathway (the distance the oxygen has to travel through) and large concentration gradient increases the ...

The matrix is singular.

No inverse matrix.

Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide.

Alege...