Linear equations and inequalities

Linear equations

Definition: Linear equation with one variable — an equation of the form where is a real number.

If , then the linear equation is also called equation of the first degree.

Example of solving linear equations

then

When is the only root

If ( — infinite number of roots)

Linear inequalities

Definition: a Linear inequality in one variable is an inequality of the form where is a real number.

If , nerst is also called a linear inequality of the first degree.

Example of solving linear inequality

then

When

When (if any number — rozvytku no. any number.)

When

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