Investment Analysis A person plans to invest up to $20,000 in two different interest-bearing accounts. Each account is to contain at least $5000. Moreover, the amount in one account should be at least twice the amount in the other account. Find and graph a system of inequalities to describe the various amounts that can be deposited in each account.

Predicate Calculus Predicate: A sentence that contains one or more variables, and the sentence becomes a logical statement when values are substituted for the variables Domain: The set of values that can replace a variable Truth Set: The set of all values in the domain of x that makes the predicate P(x) true ◦ If P(X) = “x <= 5”, such that x is in R , the truth set is {x R | x E= 5} = (0, 5] Quantifier: A phrase added to a predicate which makes an assertion concerning the number of values in the domain of the variable that make the predicate true ◦ Universal Quantifier: (∀) Makes an assertion about “all” values in the domain ▪ “For every integer n, n >= 0” can be expressed a