What I Can Do ACTIVITY 5: Tell the Difference Based on your previous activity, differentiate linear equation in two variables and linear inequalities in two variables.
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Difference Between Linear Equations & Linear Inequalities
Updated November 16, 2020
By Sky Smith
Algebra is the division of math concerned with operations and relations. Its areas of focus range from solving equations and inequalities to graphing functions and polynomials. Algebra’s complexity grows with increasing variables and operations, but it starts its foundation in linear equations and inequalities.
TL;DR (Too Long; Didn't Read)
Key differences between linear equations and inequalities include the number of possible solutions and how they're graphed.
Linear Equations
A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with
2x = 62x=6
x can only be 3.
A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus. For instance, with
3y < 23y<2
the “<” represents less than and the solution set includes all numbers
y < 2/3y<2/3
Step-by-step explanation:
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