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Let a and b be fixed real numbers such that a < b on a number line. The different types of intervals we have are
The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all real numbers "x", such that a < x < b. That is, the real number x will be taking all the values between a and b. An important point to consider in this case is the type of brackets used. Generally open intervals are denoted by ordinary brackets ( ). The closed interval [a, b]: We define a closed interval [a, b] with end points a and b as a set of all real numbers "x", such that a ≤ x ≤ b. In this case the real number x will be taking all the values between a and b inclusive of the end points a and b. Generally closed intervals are denoted by [ ] brackets. The half open interval [a, b): We define a half open interval [a, b) with end points a and b as a set of all real numbers "x", such that a ≤ x < b. In this case the real number x will be taking all the values between a and b, inclusive of only a but not b. The half open interval (a, b]: We define a half open interval (a, b] with end points a and b as a set of all real numbers "x", such that a < x ≤ b. In this case the real number x will be taking all the values between a and b, inclusive of only b but not a.
The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all real numbers "x", such that a < x < b. That is, the real number x will be taking all the values between a and b. An important point to consider in this case is the type of brackets used. Generally open intervals are denoted by ordinary brackets ( ).
The closed interval [a, b]: We define a closed interval [a, b] with end points a and b as a set of all real numbers "x", such that a ≤ x ≤ b. In this case the real number x will be taking all the values between a and b inclusive of the end points a and b. Generally closed intervals are denoted by [ ] brackets.
The half open interval [a, b): We define a half open interval [a, b) with end points a and b as a set of all real numbers "x", such that a ≤ x < b. In this case the real number x will be taking all the values between a and b, inclusive of only a but not b.
The half open interval (a, b]: We define a half open interval (a, b] with end points a and b as a set of all real numbers "x", such that a < x ≤ b. In this case the real number x will be taking all the values between a and b, inclusive of only b but not a.
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High? Use the proportion part/whole = %/100.
Power Series We have spent quite a bit of time talking about series now and along with just only a couple of exceptions we've spent most of that time talking about how to fin
Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=n
test is tomorrow, don''t know anything lol, please help
Deflation Indexes may be utilized to deflate time series so that comparisons among periods may be made in real terms. This is a process of decreases a value measured in cur
what letters to fill in the boxes
the value of square root of 200multiplied by square root of 5+
Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va
Estimation of difference among two means We know that the standard error of a sample is given by the value of the standard deviation (σ) divided by the square root of the numbe
Proof for Properties of Dot Product Proof of u → • (v → + w → ) = u → • v → + u → • w → We'll begin with the three vectors, u → = (u 1 , u 2 , ...
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