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truth table (x and not y) or (y and not z) Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….
If (not x) does not hold, then y must hold, since x implies y. Hence, (not y) does not hold. Hence z holds, by the definition of (y implies z). So we are done in this case also. Since there are no more possible cases, we are done. If this argument does not convince you, then you could try to draw the truth table for the possible values of x,y,z.
- What Is An Equation
- Parts of An Equation
- Exponents
- Polynomial
- Like Terms
An equation says that two things are equal. It will have an equals sign "=" like this: That equation says: what is on the left (x + 2) is equal to what is on the right (6) So an equation is like a statement "this equals that"
So people can talk about equations, there are namesfor different parts (better than saying "that thingy there"!) Here wehave an equation that says 4x − 7 equals 5, and all its parts: A Variableis a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant. A Coefficient is a number used to m...
Theexponent (such as the 2 in x2) says how many times to use the value in a multiplication. Exponents make it easier to write and use many multiplications
A polynomial can have constants, variables and the exponents 0,1,2,3,... But it never has division by a variable.
Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. (Note: the coefficientscan be different)
The list below has some of the most common symbols in mathematics. However, these symbols can have other meanings in different contexts other than math. If x=y, x and y represent the same value or thing. If x≈y, x and y are almost equal. If x≠y, x and y do not represent the same value or thing. If x<y, x is less than y.
Nov 11, 2014 · Whether this is true or not, Descartes used the x to be an unknown at least as early as 1629 in various manuscripts, well before La Géométrie. And, indeed, it would seem he had not come to any ...
Apr 28, 2016 · I'm one of the downvoters on this accepted answer. (@JesseTG: Please unaccept this answer.) This question confuses what x<y<z means, or more importantly, x<y<=z. This answer interprets x<y<z as a trinary operator. That is exactly how this well-defined mathematical expression should not be interpreted.
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A boolean operation is specified by something called a truth table. A truth table enumerates every possible combination of inputs for that boolean operation, and then specifies what the output should be for each input combination. Three common boolean operations are: x And y - outputs true (1) only if both x and y are true.
