Definition: Additive Property of Inequalities. The additive property of inequalities states that if the same amount is added to both sides of an inequality, then the inequality is still true. Let x, y, and z be real numbers. In symbols, we can say the following: If x y, then x + z y + z. If x y, then x + z y + z.
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1. Medicaid State Plan Documents. A State Plan is a contract between a state and the Federal Government describing how that state administers its Medicaid program. It gives an assurance that a state abides by Federal rules and may claim Federal matching funds for its Medicaid program activities.