Explain wat an inequality is and the solution that is different?

Question

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Answer 1

An inequality is like an equation, except the right and left hand sides of the expression are not related by being equal. In fact, an equation is a special form of an expression where both sides meet the criteria of being equal.

The other possible relationship expressions are : Greater than ,
Less than , greater than or equal to, less than or equal to, or not equal. For scalar expressions, think of these expressions relating to a single line with a point in the middle. Make the right side of the expression the point. For Greater than, all the possible points expressed by the left hand side are to the right of the point. For Greater than or equal, the point is included in what is possible. Likewise for less than, every possibility is to the left of the point. For less than or equal, the point gets included. For not equal, it is every part of the line except the point. Let's set 1 as the point and say x =1, so x is a point on the line at 1. If I say x>1, then x is every point to the right of 1, or greater than 1.

Now, you can expand this model to variable expressions. An expression like 2x+1>3Y. Geometrically this describes the relationship of surfaces in a two-dimensional space. If I made 2X+1=3Y, this describes a line, since the equal only allows each side to be a single point as described above. So if you graph these you will get a better understanding.