1. What are the similarities of Linear Equation and Linear Inequalities in Two Variables?

2. What are the differences of Linear Equation and Linear Inequalities in Two Variables?

3. How will you determine if the given is a Linear Equation or Linear Inequalities in Two Variables?

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to linear equations, on the other hand include a solid line in every situation. More over, linear inequalities include shaded regions whereas linear equation do not.

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Answer:

1. A linear inequality resembles in form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'.

2. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other

3. The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.