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For inequalities we contain a similar notation. Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is just one single number then we uses the same notation as we do for equations. If the solution set is a range of numbers, such as we looked at above is, we will use set builder notation. Following is the solution set for the inequality we looked at above.
{z | z ≥ -5}
It is read as : "The set of all z such that z is greater than or equal to -5".
Mostly inequalities that we will be looking at will have easy enough solution sets that we frequently just shorthand this as,
z ≥ -5
Linear Approximation Method This is a rough and ready method of interpolation and is best used when the series moves in predicted interval
Two angles are supplementary. The evaluate of one is 30 more than twice the measure of the other. Determine the measure of the larger angle. a. 130° b. 20° c. 50° d. 70
Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?
how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant
how do u add them together?
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
If the expression 9y - 5 represents a certain number, which of the following could NOT be the translation? a. five less than nine times y b. five less than the sum of 9 and y c
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
how will you explain the listing method?
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