Question

Which of the following is the solution set for the conjunction –6 < 4x + 2 < 6?

Answer 1

-2<x<1

Answer 2

subtract 2 from each side of the less than symbols then divide both sides by 4

Answer 3

\(\bf -6 < 4x + 2 < 6\quad \textit{adding -2 to all sides}\\ \quad \\
-6 -2< 4x \cancel{+ 2-2} < 6-2\implies -8<4x<4\quad \textit{divide all sides by 4}\\ \quad \\
\cfrac{-\cancel{8}}{\cancel{4}}<\cfrac{\cancel{4}x}{\cancel{4}}<\cfrac{\cancel{4}}{\cancel{4}}\implies \square ?\)

Answer 4

ok thx

Answer 5

when youi have 3 sides, left, middle, right, you add/multiply/else to ALL sides simultaneously, just like you'd if you only had left and right side only