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4x - 6 < 2x + 5 is an inequality. It means "4x - 6 is smaller than 2x + 5". An inequality can be solved just like an equation: whatever you do to one side, you also do to the other. Firstly, ...

The hypotenuse is the easiest to spot - it's always the longest side, and it's across from the right angle in the triangle. This leaves two others: the adjacent side is the side that is next to the acute ...

5x - 3x > 11 + 3

2x > 14

x > 7

need to put f equation into g equation so replace x in g equation with 2x^2+1 gf : x --> 2(2x^2+1) / ((2x^2+1)-1) then need to simplify (expand brackets) 4x^2 + 2 / 2x^2 divide all by 2 (common factor)...

Factorise = take out common term (y in this case)

so divide each by y

i.e. 3y^2 / y = 3y

2y / y = 2

thus factorised:

= y(3y+2)