Linear Equations And Inequalities: Definition, Characteristics, And Differences

Linear equation or inequality

An equation or inequality which graphs as a straight line ax+b=c (standard form)

A linear equation is a mathematical equation that describes a straight line when plotted on a graph. It has the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.

An inequality is a mathematical statement that compares two values or expressions using the symbols <, >, ≤, or ≥. It does not necessarily represent a straight line on a graph.

To determine whether an equation or expression is a linear equation, we need to check if it has a constant slope and forms a straight line on a graph. On the other hand, to determine whether a statement is an inequality, we need to check if it uses comparison symbols and does not form a straight line on a graph.

For example, y = 2x + 1 is a linear equation because it has a constant slope of 2 and forms a straight line on a graph. In contrast, x^2 + y^2 ≤ 16 is an inequality because it uses the symbol ≤ and does not form a straight line on a graph, but rather a curved boundary.

More Answers:
Mastering The Art Of Simplifying Mathematical Expressions: Techniques For Streamlining Equations And Expressions
Mastering Algebraic Expressions: And Simplifying Like Terms
Coefficients In Algebraic Equations And Statistical Analysis

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