Q1) A: Proof that <- where x & y E to the rational numbers. B: Solve the following inequalities and show their solution sets on the real line: 1. x- 16 2 3(x - 4) 2. -x - x + 22x 2 20x

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Q: Between what two consecutive integers must the solution to 3^x=60 lie?   When 3^x=60, x must be…

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Q: raph the solution set of inequality, where x is a real number on the number line. 2x+6>_14 Sorry the…

A: 2x+6≥142x≥14-62x≥8x≥4

Q: b) Solve the inequalities: 1- 6x2 + 5x-4 > 0 2- Ix - 2| + 4 < 10 3x 3- x-1 프-2<0 X+2

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Q: Determine the real solutions of the inequalities 1 4 |x – 1|+ |x – 4| < 3; ? — 5х + 4 < 0%; 2 - 1

A: For solving the question we must the following properties of modulusinequality-1)   If a &lt; b ⇒ -a…

Q: Solve the ineguality (Sobmit answer in interval notation x(1 -x²) ³ 73( 1-x²)3

A: The inequalities can be solved by first simplifying the side of inequalities. Then use…

Q: 1. Solve 3x2-10 22 via sign analysis method. Show all your steps and state your answer in interval…

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Q: b) Determine the possible values of x if -2 +12-10 and illustrate the solution in the form of…

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Q: 2.7 5-67 L t

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Q: Graph the inequity on number line  x &gt; -6  x  is less than or equal to -5  -3 is less than or…

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Q: 4) What is the solution set for the inequalit x2 - 2x < 8?

A: we have to simply

Q: 11. How do the solutions to inequalities (x – 3)(x +4) < 0 and <0 differ. Find x + 4 solutions to…

A: We will solve the inequality.

Q: - Solve the following rational inequalities: 3x a. x2-16

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Q: 4. Solve the following inequalities using an algebraic method -2x+5 > -2 x+6

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Q: Solve the following inequalities by the most convenient method. Please show all work. Write…

A: Factor x^3+4x^2-9x-36 completely.

Q: 1. What is the interval notation form of the solution set −1 ≤ x ≤ 4? (x is less than or equal to 4…

A: The given set builder form is {x|a≤x≤b}. It means all real numbers between a and b, including a and…

Q: 2. Solve. Write the solution set in interval notation. S must be consistent with the methods from…

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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: x" 1omua

A: As per the instruction, we will be solving only the first-mentioned question. For (5), Here,…

Q: Solve the inequality f(x) S0, where f(x) = --(x+3)(x-4)°, by using the graph of the function. 80-…

A: f(x) will be less than or equal to zero for all values of x where the graph touches x axis and where…

Q: x-3 x+1

A: Solve the inequality of rational expression by cross multiplication.

Q: solve the inequalities  y≤5-3x and y+19≥x2-8x

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Q: How many solutions are there to the inequality I1 +12 +r3 < 11 where r1, r2, and r3 are nonnegative…

A: The inequality is x1+x2+x3≤11. Case i: x1+x2+x3=11 The value of n is 11. Then,…

Q: Find the solution set of each rational iñeq x+3 x-4 1 3. +1>0 4. x-8 2 1/2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 9. Is (1, -2) a solution to the linear inequality 5x – 4y > 28? -

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Q: 1. Solve for y: |y-3| > 5 and express answer in interval notation and graph on a number line.

A: Given an inequality : y-3&gt;5 We need to solve for 'y' in interval notation. Let's begin.

Q: Solve the inequality 2x² + 13x – 24 < 0 3 A. x<-, or x2 8 2 В. XS -8 orx2; 3 C. –8 <x<- <x< 8 2 D.…

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Q: How many solutions are there to the equation: x1 + x2 + x3 = 19 where 1. x1, x2, x3 are all…

A: As per Bartleby guideline for more than one question asked only first is to be answered please…

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

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Q: Solve the absolute inqeuality and put your answer into interval form. 1. |x-1|<6 2. x2-25/x-3≤0

A: Given, |x-1|&lt;6 i e, (x-1)&gt;-6 and (x-1)&gt;6 For, x−1&lt;6 x−1+1&lt;6+1(Add 1 to both sides)…

Q: 1. What is the range of values of x for which x(5x-3)<2x(x-4)+2? The set of all solution sets of a…

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Q: Findβsuchthattheequationβx2+x+β=0 has repeated real solution

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Q: 3. Express the solution of the following inequality in interval notation: 1 2m +1 Зт - 5

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Q: how do i solve for the solutions in the problem with the interval of (0,PI) 2csc^2xcotx=0

A: We set each factor equal to 0.

Q: If the greatest value of the variable M can be is less than 9 which of the following inequalities…

A: We have to find the inequality of the given condition.

Q: The average reading score of 17​-year-olds on certain tests is given by y=0.198x+244.33 points,…

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Q: Describe in words the region of R(all real numbers)^3 represented by the inequalities 1 < x2 + y 2 +…

A: Note: it is assumed that the inequality is 1&lt;x2+y2+z2-3z≤4 .   The equation of a sphere in 3D…

Q: Find all exact solutions on the interval 0 ≤ x < 2π. ( csc²(x) − 5 = −3

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Q: 12+3x 1- ** x+5 4 2-음(x-2) <프 12+3x 4 3-z – 1|5 2

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Q: golden rectangle

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Q: 4. Solve the following inequalities using an algebraic method. -2x+5 > > -2 x+6

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Q: OFind the solution of relation -3An-z-9 -309, n-3 - ミ 9=1 9,=-2

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Q: 3- Solve the inequalities, expressing the solution setsas intervals or unions of intervals. Also,…

A: Answer

Q: The total costs for a company are given by C(x) = 4000 + 50x + x2 and the total revenues are given…

A: The total costs for a company are given by C(x) = 4000 + 50x + x2 and the total revenues are given…

Q: he solution of the inequality 4x + 4(x + 10) > 2x – 14 is

A: We have to solve the inquality

Q: Determine the solution of the inequality. - (x² +2x + 1) (x – 1) < 0 Express your answer in interval…

A: topic - inequality

Q: b) Solve the inequalities: 1- 6x2 +5x-4 >0 2- |x - 2| + 4 < 10 3x x 3- x-1 -2<0 x+2

A: We have to solve the inequalities: 1. 6x2+5x-4&gt;02. x-2+4&lt;103. 3xx-1-xx+2-2&lt;0

Q: 15. Which represents the solution to the absolute value equat 2|x+2-1 5

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Q: solve the inequality in terms of intevals and illustrateand re-express the solutionas one dimesional…

A: See 2nd step