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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
Question: Find Inverse Laplace Transform of the following (a) F(s) = (s-1)/(2s 2 +8s+13) (b) F(s)= e -4s /(s 2 +1) + (1/s 3 )
Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place
112 in 8
1. Find the third and fourth derivatives of the function Y=5x 7 +3x-6-17x -3 2. Find the Tangent to the curve Y= 5x 3 +2x-1 At the point where x = 2.
Coastal Cable had 1,440,000 customers within January of 2002. During the first half of 2002 the company launched a large advertising campaign. Through the end of 2002 they had 1,80
Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution
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In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 degrees.BC=?
a3-a2+a-1
question..A Circular rug is 6 yards in diameter. Binding for the edge of the rug cost $2.00 per yard . what eill it cost to bind the rug
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