If a number is a member of the set of integers, then it must also be a member of which other set? a.)rational b.)counting numbers c.)whole numbers d.)not here

rational

by definition, a rational number is a number that can be written as a fraction with the numerator and denominator as both integers.

if a number n is an integer, then it can be written as n/1, which is a rational number. e.g., 5 is the same as 5/1 (and -5/-1), -3 is the same as -3/1 (and 3/-1) and so on.

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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