Let S {2,3, 5, 7,...} be the set of all prime numbers, and let P(S) {T |TC S} be the power set of S. () Show that P(S) is uncountable.

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A: Given that :We need to solve for w

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Q: 9.2 Use the graphical method to solve 4s,-8r,-24 X+6x, 34 Check your results by substituting them…

A: To use the graphical method to solve 4x1-8x2=-24x1+6x2=34To check the results by substituting them…

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Q: 4. Solving the following difference equations a. 2xn - 5xn-1 = 0, x0 = 2. b. 29n5qn-1 = 3,90 = 3. c.…

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Q: 3. Simplify the following. Show your solutions. 1 6. 3.

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Q: B. In the figure, XY = 5x +3 and CX = 2x + 3. Solve for the following: 3. х 4. CY

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Q: Given the equations, solve by Gauss elimination and substitute results into the original equations…

A: Write the system of equation as matrix  4-8-16x1x2=-2434 operate R1→14R1 1-2-16x1x2=-634 operate…

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A: Given:   z= -i

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Q: 24. Factor the expression 2 3 x'z'- y-yz. y² +x*y

A: This expression can't be factorable.

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A: Given : Ms. Lok wants to put a fence around her garden. The garden has a radius of , r = 3 ft He…

Q: 14x-12y=16 Solve by elimination

A: Given 4x-12y=166x-18y=24

Q: 12e

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Q: ollowing equation for x. Express your answ 6(-10x + 1)-8 1 (8x + 8) + 3

A: The given equation is - 6(-10x+1)-8=12(8x+8)+3  We have to solve for x.

Q: a. Solve v-25 × /-9. (1+ i)? b. Given that = x + yi , find the value of x + y. 2-i

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.