I understand now the equality sign only applies to the expression on the side of the inequality sign on which it is placed, rather than equating the whole inequality expression.

Given the explanation posted in the thread I'm still confused about why the working I have posted gives the inequality to larger than 4k - 4 rather than 4(K+1).

Is this something to do with the shifting of the inequality sign?

Why have they chosen to express the ineqaulity sign as they have?