Linear inequalities with one unknown

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Inequalities with an unknown

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Inequalities

An inequality is an inequality between algebraic expressions.

For inequalities we will use the symbols: (less than); (greater than); (less than or equal to) and (greater than or equal to).

The inequalities that use the first two symbols are called strict inequalities and those that use the last two, non-strict inequalities. If the algebraic expressions are polynomials of degree 1, the inequalities are called linear and if they are of degree 2, quadratic.

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Systems of inequalities

A system of inequalities is a grouping of two or more inequalities.

A solution to a system of inequalities is a set of values ​​of the variables (one of each) that makes all the inequalities in the system true.

Solving a system of inequalities consists of finding all its solutions. For this, the intersection of the solution sets of the inequalities of the system will be made.

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Inequalities with an unknown

An inequality with one unknown is an inequality between mathematical expressions with a single variable or unknown.

A solution of an inequality with an unknown,, is a value of the variable that causes the inequality to hold.

Solving an inequality consists of finding all its solutions. They are usually infinite and are expressed through intervals of the real line, although they can also be finite or not exist.

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Linear inequalities with one unknown

A linear inequality with one unknown is an inequality, in which the mathematical expressions involved in the inequality are first degree polynomials in a single variable. Consequently, it can be put, by means of transformations.

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MADE BY: ALEJANDRO ECHEVERRIA

COURSE: BGU FIRST

SUBJECTS: MATH ENGLISH LANGUAGE COMPUTING