Help with math please

Question

X/4 + 6 <= x + 6 is the formula we cannot figure out. Can you assist us?

Answer 1

Multiplying by 4 everywhere (4 is a positive number and thus, it does not change the inequality) we may rewrite the inequality as x+24 <= 4x+24 which is the same as x <= 4x or equivalently, 0 <= 4x-x=3x. Hence, the inequality is satisfied if and only if x >= 0.