If x and y are positive real numbers, use the direct method to prove the following inequality: 7 5 √xy ≤ 1/1/1 x + 1/2/4/y - 10

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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Q: Which x satisfies both |x − 3| < 2 and |x − 5| < 1?

A: The inequalities are:  |x − 3| < 2 and |x − 5| < 1 Then we get,…

Q: this inequality: y< 2/3x +2​

A: given  graph line  y=23x+2 x y 0 2 3 4

Q: Find three consecutive odd integers such that their sum decreased by the second equals 50.

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Q: 6. Solve the following quadratic inequality by sketching the graph of the corresponding quadratic…

A: from given information, f(x) = -(x-3)2 this equation is true for -x2+6x-9 &lt; 0

Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

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Q: question 1. Solve for x: 5x - (x+ 4) = 2(x - 3). O x = -5 x = -1 X = 1 X = 5

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Q: [4,9] how would I express this as an inequality involving x? I thought I know i thought it would be…

A: [4,9] how would I express this as an inequality involving x

Q: Consider two nonnegative numbers x and y where x + y = 11. What is the maximum value of 6x²y? Enter…

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Q: solve In(x+1) ≤0.

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Q: Solve the following inequalities: a.) -6x(x+1)2(3-x)&gt;0 b.) 5/(2x-7)&gt;1

A: To solve the below inequalities:

Q: 2. (a) Show that if a > 0, then 1 + x - x² ≤ √1 + x ≤ 1 + ¾ x. (b) Use part (a) to approximate √1.2…

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Q: Prove the inequality √1+x≤1+x2 for x&gt;1.

A: Consider the function. Find its derivative.