I am not sure if this is exact.. but I will try my best.
To solve for linear inequalities, it is the same as linear equations, but the sign is only different like >,<,≥,≤.
Subtract 4 to both sides
Divide both sides by 2
Therefore the value of x is less than 2.
If the number x is negative, then the sign will change into its opposiote
like from > to <, from ≥ to ≤
Subtract 5 to both sides
Divide both sides by -2
That means the value of x is greater than 4.
Hope this helps =)