IV 4 Solve the following inequalities algebraically. Express your answer using interval notation. a) 2x - 5< 4x + 1 b) 2(x + 3) < – (x – 4) d) 2x +1 s 5x - 2 e) -x +1 > x + 1 2x + 3 ハx-5 3 x+ 4 f) x- 2 c) 2 4

Q: 10. Which of the following inequalities has a solution. Explain. x - 3 3 – x> x – 5

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Q: Solve the following inequalities graphically. Express your answer using set notation. a) 3x -1 S 11…

A: As per guidelines we have to solve the inequalities

Q: 1. Express the sum 2.019+2.020 into a fraction of two natural numbers. (2.019 = 2.019191919.. .) 2.…

A: As per the guidelines we can solve 1 problem only.

Q: Solve the following inequalities by the verification method and indicate the solution set on the…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -

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Q: 4. Find all the solutions x of 1 Ax 1 ||

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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: Solve the following system of inequalities graphically on the set of axes below. State the…

A: The objective is to Solve the following system of inequalities graphically on the set of axes…

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: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

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Q: 2- Solve the followinimequalitieS 2X () (X-2)(**) (e) {x * - * < tX 12 + X2-1 2. X2 +1 6-X 3X 3X+2…

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

Q: Show that the inequality (x - 2) 2 &gt; 0 has one real number that is not a solution.

A: x-22&gt;0

Q: Consider the following inequality: Step 1 of 2: Write the solution using interval notation. 2x-23-8

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Q: Solve the following incqualities 1. x > x 2. - 21 2 4. x-1 < x- 21 5. x+1< |x| 3.

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 8 Given: mZP + mZR < 180. PQ < QR Write an inequality to describe the re- strictions on x. (7x-18)…

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Q: B. Verify if the given values of x are solutions to the equations/ inequalities. 1. 7x +2 = 9 :x =…

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

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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 system of inequalities graphically on the set of axes below. State che…

A: We will see that these inequalities have infinite number of solutions and we will pick any one of…

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: ] Prove that the equation 2" – x = 1+ 4/x has a solution greater than 0.

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

A: Given

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: Solve the following system of inequalities graphically on the set of axes below. State the…

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Q: Solve the following incqualities 1. x > x 2. 11-리2 v4. ]x- 1| < |x – 2| 5. x+1< |x|

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Q: Solve the following inequalities by the verification method and indicate the solution set on the…

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Q: Is 9 a solution of 2x + 4 < 21? We will substitute 9 for x and evaluate the expression on the left…

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

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Q: What is the solution (in interval notation) to the following inequality below: 2 (x+4)-3xs 14

A: Given: - The inequality is, 2(x+4)-3x≤14 To find: -The solution of the given inequality (in interval…

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: What is the solution (in interval notation) to the following inequality below? 7x+2< 17 - 3x 0 (-)…

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

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Q: 13.The inequality x* – 5x² + 4 > 0 can be solved by: a. considering all cases b. graphing c. using…

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Q: 1. By applying an appropriate theorem, explain why x-100 x = 0 has a solution in the interval (1,4).

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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: Solve the following system of inequalities graphically on the set of axes below. State the…

A: See attached file for a step by step explanation to solve the given inequalities.

Q: 10. Which of the following inequalities has a solution. Explain. x - 3 3 – x>x – 5

A: Explanation of the answer is as follows

Q: If x and y are positive real numbers, use the direct method to prove the following inequality: 7 5…

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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 Inequalities and show the solution sets and explain that on the real line. whereas n =39…

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Q: a) 3x + 1> 2x OR 3x + 1 2x AND 3x + 1 < 5x – 2.

A: 3x+1&gt;2x  or   3x+1&lt;5x-23x-2x&gt;-1 or 1+2&lt;5x-3xx&gt;-1 or  3&lt;2xx&gt;-1 or…

Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: 4xーx? X→4(2-安

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Q: Match each compound inequality on the left to the graph that represents its solution on the ri 3 5n…

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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 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: Solve, algebraically, each of the following two inequalities. (1) (20 – z - 2)(x + 2) <0 (1) 21 5+t

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