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I need help in math :/

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1 Answer

"Math concept" is generally used to refer to the "why?" part of answering a math question. Concepts, typically contrasted with facts or skills, are more about how a process works or why it works than the mechanical steps to solving a specific type of problem.
 
For instance, take an algebraic inequality:
 
-x < 1
 
is typically solved by "dividing by negative one and flipping the inequality sign," but that doesn't really explain what's happening.
 
-x < 1
+x  +x
------------
0 < 1 + x
-1   -1
------------
-1 < x
 
What's actually happening is that we're adding x to both sides of the inequality, which has the effect of "moving" the x to the other side. This doesn't matter in equations separated by an equals sign, but it does in inequalities. Rather than memorizing "flip the sign," a conceptual approach would explain the process this way and help a student understand "why" the sign appears to flip.