3. Solve the following inequalities and represent the solution in interval notation. Show your work! (a) 622 – 4 > 5x +2 (b) 2|æ – 4| < 3

Q: 2х+7 х+3 1.- -23 2.- <4 х-4 5-2х

A: Solve the following rational inequality.

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A: Given: The compound inequality 6x+1&lt;8x+7&lt;6x+9, To find: The values of x which are satisfying…

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Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2…

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: 2) Solve the following inequalities. Give the Domain. а. х2 — 9х — 4>0 b. x² + 7x < -12 с. бх2 < 6 +…

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Q: 12 <4 x-1

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Q: Solve the following inequalities. Write your final answer in interval notation. a. x2 + 4x < 21

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Q: 4. Solve the following inequality algebraically. Explain your process. 8x – 3 < 2x +1 < 17x – 8 -

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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: 1. 12- x > 6

A: By solving the inequality

Q: 2. Solve the following inequalities: (a) {x: x- 3x s 5x - 9x} (b) {x: 6x-x > 0} 2x x²-1 (c) {x: 20}…

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Q: 1. Explain the following intervals on the line numbers: (a) -3 5 (e) x 0} (d) { x:20} x²-1 2x (c)…

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Q: ) Solve the following inequalities. Give the Domain. а. х2 — 9х — 4>0

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Q: x-1 x+4 VI x-3 x-1

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Q: 2. Solve the following inequalities: (a) {x:x- 3x 0} x-10} 2x | (c) {x:- 20} (x-2)(x+1) (d) {x: x…

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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: solve the following inequations in the designated way(only the real solutions).State your answers in…

A: The given inequality is

Q: 3. Solve the inequalities and give your final answers in intervals: (i) |2x + 3| < 9

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Q: Solve the following inequalities  1)  |X2-X+1|>1 2)   2X/X+2  ≥ X/X-2

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Q: Find the Domain of the following inequalities and solve them In x +1

A: Given

Q: Solve the following inequality. 3 x' - 4x2-4x+16 Write your answer as an interval or union of…

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Q: Solve the following inequalities. 1. (2x + 5)(x - 2) > x - 4

A: Given that 2x+5x-2&gt;x-4Solution :…

Q: Solve the following inequalities: 7)>2 x+1 X-1

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Q: Find all x € R that satisfy the following inequalities: (a) 14x – 5| < 13, (b)

A: If x&lt;k, then it can be written as -k&lt;x&lt;k. Use this to solve the inequality: 4x-5≤13.

Q: Solve the following quadratic inequality: 5x + 9x - 2 <0 Write your answer in interval notation.…

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Q: Consider the following inequality problem. - 6(y – 1) < 60 19 - y < 20 or Step 3 of 4: Using your…

A: Let a, b be two numbers such that a&lt;b. Hence, it can be written that if a&lt;b, then -a&gt;-b.

Q: Solve the following inequalities and show its solution on the real number line. a) x+5| 2 9 b) -x+2…

A: In this question we will use basic of calculus i.e solution of inequality.  As we know that modulus…

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Q: Q4: Provide the solution for the following inequalities : 1. 8.6 < (4 - 5 x) /7.8 < 9.3 2. -4 < (2.1…

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Q: 1. Solve the following inequalities using an algebraic method. х2-2х-15 a) x(x + 2)(x – 2)(x+ 3) > 0…

A: Given the inequalities is (a) xx+2x-2x+3≥0 (b) x2-2x-15x2-16≥0

Q: 4. Solve the following inequality using an algebraic method. 1 <2 X+5

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Q: 2) Solve the following inequalities. Give the Domain. d. -5x? + 4x – 2< -7x² – 2x + 8

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Q: Solve the following inequality: x2 – 3x – 28 - x2 + 5x State your answer using interval notation.…

A: Given inequality. x2-3x-28x2+5x≤0

Q: x²+5 < 3 2x-1 Solution: 4.

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Q: 1. Solve the following inequalities using an algebraic method, show all work. х2+2х-3 a) 2x3 – 7x2 –…

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Q: Solve the following inequalities for the indicated variable. Give your answer in interval notation.…

A: Add 3 on both sides of the equation and simplifyAdd (m/2) on both sides of the equation and simplify

Q: 11 Solve the following inequality. 9x 2 43 Here, x >

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Q: 2) Solve the following rational inequality using the method of test intervals. 1-2x x – 2x -3 |

A: Subtract 1 from both…

Q: 6. Solve the following inequalities and write solution using interval notation. a. 10x211x - 6 > 0…

A: NOTE: Dear student, since you have posted a question with multiple subparts, we will answer the…

Q: Solve the following quadratic inequality: x2 – 9x + 14 < 0 Write your answer in interval notation.…

A: Given the quadratic inequalityx2−9x+14≤0    .....(1)

Q: 6. Find all x e R that satisfy the following inequalities: (a) |4x – 5| < 13,

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Q: (a) x² + 9x – 10 0 Answer:

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Q: x+1 -> 12 Work: [17] х- 2

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Q: Solve the following three-part inequality analytically. Support your answer graphically. x-4 -3s…

A: We are given inequality and also solve.

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

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Q: Solve the following inequality: M Ca – x <x - 5a+ 2, where A=-13, B=18, C=-15, D=6, M=-3 and a is a…

A: Given, The inequality  Ca-ABx ≤ x-MDa+2 Where A=-13, B=18, C=-15, D=6, M=-3  and a is any real…

Q: The solution sets as intervals of the following inequality I 3y-71<4 is:

A: Given inequality is: 3y-7&lt;4

Q: Solve the following inequality using an interval table: 5(3x + 4)(x - 2) / (x+7)(2x-3) >= 0

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 5