A letter that stands for a number in an expression or an equation is called a
Question
A letter that stands for a number in an expression or an equation is called a
Solution
A letter that stands for a number in an expression or an equation is called a variable.
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In mathematical reasoning it is often necessary to make statements about objectsthat are represented by letters called variables. For example, if the variable xis used to stand for a number in some problem, we might be interested in thestatement “x is a prime number.” Although we may sometimes use a singleletter, say P, to stand for this statement, at other times we will revise thisnotation slightly and write P(x), to stress that this is a statement about x.The latter notation makes it easy to talk about substituting some number forx in the statement. For example, P(7) would represent the statement “7 is aprime number,” and P(a + b) would mean “a + b is a prime number.” If astatement contains more than one variable, our abbreviation for the statementwill include a list of all the variables involved. For example, we might representthe statement “p is divisible by q” by D( p, q). In this case, D(12, 4) wouldmean “12 is divisible by 4.”Although you have probably seen variables used most often to stand fornumbers, they can stand for anything at all. For example, we could let M(x)stand for the statement “x is a man,” and W (x) for “x is a woman.” In thiscase, we are using the variable x to stand for a person. A statement might evencontain several variables that stand for different kinds of objects. For example,in the statement “x has y children,” the variable x stands for a person, and ystands for a number.Statements involving variables can be combined using connectives, just likestatements without variables.Example 1.3.1. Analyze the logical forms of the following statements:1. x is a prime number, and either y or z is divisible by x.2. x is a man and y is a woman and x likes y, but y doesn’t like x
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