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Alg1A Unit 7

Linear Inequalities

TermDefinition
Inequality A relationship between two values that includes the possibility that one value is not equal to the other.
Nonstrict inequality An inequality with the possibility of equality, such that one value is always less than or equal to another, or one value is always greater than or equal to another.
Strict inequality A relationship between two values where one value is always greater than the other, or always less than the other, but the two are never equal.
Addition Property of Inequality Adding a number to both sides of an inequality does not change the type or direction of the inequality. For example, if x<y, then x+a<y+a
Subtraction Property of Inequality Subtracting a number from both sides of an inequality does not change the type or direction of the inequality. For example, if x>y, then x−a>y−a
Multiplication Property of Inequality Multiplying both sides of an inequality by a positive number does not change the type or direction of the inequality, but multiplying both sides by a negative number reverses the direction of the inequality.
Division Property of Inequality Dividing both sides of an inequality by a positive number does not change the type or direction of the inequality, but dividing both sides by a negative number reverses the direction of the inequality.
Viable solution A solution to an inequality. A point in the shaded region determined by the inequality.
Created by: schaffermath
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