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The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to or greater than equal to
.
Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.
The number seven and two tenths can be written as,
Suppose the unknown number is n. Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine. The more than word means, the greater than sign for equation. Thus, it can be expressed as,
Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is
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Answer:
The inverse of a non-function mapping is not necessarily a function.
For example, the inverse of the non-function mapping is the same as itself (and thus isn't a function, either.)
Step-by-step explanation:
A mapping is a set of pairs of the form . The first entry of each pair is the value of the input. The second entry of the pair would be the value of the output.
A mapping is a function if and only if for each possible input value , at most one of the distinct pairs includes
as the value of first entry.
For example, the mapping is a function. However, the mapping
isn't a function since more than one of the distinct pairs in this mapping include
as the value of the first entry.
The inverse of a mapping is obtained by interchanging the two entries of each of the pairs. For example, the inverse of the mapping is the mapping
.
Consider mapping . This mapping isn't a function since the input value
is the first entry of more than one of the pairs.
Invert as follows:
becomes
becomes
.
becomes
In other words, the inverse of the mapping would be
, which is the same as the original mapping. (Mappings are sets. There is no order between entries within a mapping.)
Thus, is an example of a non-function mapping that is still not a function.
More generally, the inverse of non-trivial ellipses (a class of continuous non-function mappings, including circles) are also non-function mappings.