Q. 3 solve the following inequalities i) |x|< 3 ii) |x| > 6 iii) |x – 4|<3 iv) x – 2|<5 v) x+ 1|<3 vi) x+ 4|22 vii) |3-지 > 1 viii) |x + 1|<0 ix) (x – 3)(x + 1) <0 x) x? + 5x + 6>0 хі) (2х — 1)(3х + 4) > 0 xii) 10x? – 19x+6<0 xiї) 5 — 4х — х?> 0 хiv) 1 — х — 2х? <0 хV) 3x2 — 7<41

Q: 2. Solve the following inequalities algebraically. a) -(5x – 9) > 8x – 30 6x+1 b) 9-x c) 10 < 3(2x –…

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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 incqualites 3. ca) ) {X: X- 3X<ハ SX-9x7 (C) メ {x: (x-2) ox+1)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: = For what values of k does the graph of f(x) a) k > 64 b) * 4 d) k < 64 x² + 16x + k x² + 7x have…

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Q: 1. Expand and simplify the following expressions a) (x + 1)(x + 3) c) 2(x – 1)(x – 2)

A: Topic = Algebra

Q: Identify the vertex, axis of symmetry, and min/max value of each. 11) f(x) = 3x² - 54x+241 12) f (x)…

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Q: Solve each of the following equations: 8 -X ? ( x - 3) 2 3 4( 22+7) = 9( x+3)* 3) |x+s - 12 = 3

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Q: What are the domain and range of g (x) = -÷(x - 17)2 + 61? Domain: All real numbers A) Range: g (x)…

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Q: 1. Solve the rational inequalities x+1 a) X-3 х-2 b) x² - 4x c) _> 2 X-1

A: If we have a rational expression equal to and we want to know when this expression will be positive…

Q: (a) Find the number of digits between 4000 and 12000 inclusive that are divisible by 13 or 31. (b)…

A: The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple. For two…

Q: Use the graph to solve x* + x³ – 7x² – x + 6 > 0 y 12 -4 -2 0 4 x -6 12 y=x + x* -|7x² – x + 6 O…

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Q: With domain of discourse as the real numbers, prove that the following statement is false: ∀x∃y(y^2…

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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: 1) (x-1)2 -3 (2x-1) (2x-3) can be simplified to -11x2 + 22x-8 a) True b) False  2) Given the…

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

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: Solve the following optimization problem subject to max-(₁-4)²-(₂-4)² 21,22 x₁ + x₂ ≤ 4,2₁ + 3x2 ≤9

A: Given: The optimization problem is maxx1,x2-x1-42-x2-42. The given problem is subjected to x1+x2≤4,…

Q: 3 Solve х — 1 x + 4 ||

A: given,        3x-1=2x+4

Q: 13. If f is a polynomial function and f (10)=0, circle all of the following that must be true. a)…

A: option (b) would be true  the polynomial function x = 10 will be its one zero x=10⇒x-10=0⇒(x-10)=0…

Q: Solve the inequality (x-1)(x+2)(x-4)² > 0. x-3

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Q: Fill out the following table concavity Equation x²+7x+10=0 x²+10x+25=0 x²+7x-18=0 x2-5x-14=0…

A: EquationConcavityRootMiddle pointMin/Max PointConcave up-2,-5-7/2-7/2;-9/4Concave up-5-5-5;0Concave…

Q: Solve the following optimization problem subject to max-(₁-4)²-(₂-4)² 21,22 x₁ + x₂ ≤ 4,2₁ +372 ≤9

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Q: If f(x) = x +l and g(x) = x-1 then the domain of (fog)(x') is a) All Real Numbers b) x21 c) IS1 d)…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1. Solve the polynomial inequalities a) x2 - 7x + 12.>0 b) x3 + 4x2 -3

A: The solution are next step

Q: 7. Solve the following polynomial inequalities. b) t³ +2t²-3t 0 c) x(x − 2)(x + 1)(x + 5) ≥ 0

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Q: sin x 3) lim

A: Explanation: Find the limit limx→0sinxx3

Q: ACROSS A) Find m/SRT R 26x+3 A)Find mXY www S T 55x 4 12A

A: Solution  The inscribed angle is a measure formed by two chords, and its measure corresponds to half…

Q: 7. Solve the following inequalities algebraically. a) -5< 2x + 7< 11 b) 11 < 3x -1< 23 d -1s-x + 9…

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