. Solve the following inequalities. Be sure to show your boundary point, number line, and test number work. Give your answer in interval notation. (a) 2x2 – 5 < 3x (b) x³ 2 4x

Q: Given the following inequalities, fill in the blanks to list the corner points in order from…

A: Plot the three region and find the points where the intersect.

Q: Graph the following Linear Inequalities. −3x + 9y > 15

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Q: An amusement center charges a $45 flat fee for any birthday party plus $3.50 for each attendee after…

A: lets take  number of attendees = x

Q: 7x+6≤7(x-4) 2.) x-2y≥4     2x-y≥-2 Also, make a short essay on the observation about the graphs.

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Q: 5 Solve each of the following inequalities, giving your answer using set notation: {x : |x| 2} { x…

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Q: Graph the following Linear Inequalities. 4x + 2y ≤ − 10

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Q: Which of the following pairs of inequalities is equivalent to |x| > 4? (a) x > -4 and x -4 or x > 4…

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Q: e. [x| < 6 十十十++

A: In this question we have to graph the inequality on the number line.

Q: Solve the following inequalities for x. Enter your answer using interval notation.a.)…

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

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Q: Qn. The point of intersection of the graph of inequalities 2x+3y22 and X-yS3 is

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Q: Solve the following inequalities. a) a+5| 3

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Q: What are the critical numbers for each inequality? (Enter your answers as a comma-separated list.)…

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Q: Given the following inequalities; -3 x > 0 b.) x x > 0 Ос b O a 1/3 V

A: Let a-b is always positive. Then we have a-b&gt;0. So a&gt;b

Q: Which of the following inequalities corresponds to the interval [-3, 2)? A. -3 < x < 2 B. -3 s x < 2…

A: Given : [-3,2)

Q: Use the graph of f(x) to solve the inequality. f(x) > 0 Ay 30- 20- 10- イ -6 -4 -2 4 9. -10- -20-…

A: The inequality f(x) &gt; 0 represents the portion of the graph where the function lies above the…

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: 12. Graph the following inequalities, then determine the solution(s). S-3x + y < -6 l x+2y < 2

A:

Q: B. Graph the following inequalities. 6. y > 3 7. x < 4 8. x + y< -2 9. 2x - y 20 10. 4x - y s 3

A:

Q: 1. Which of the following inequalities matches the graph? -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 D. x…

A: (1) Which of the following inequalities matches the graph? (A) x≥-6 (B) x&gt;-6 (C) x≤-6 (D)…

Q: 3. 2 X-1 x-1

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Q: Solve the following inequality. Graph the solution set and then write it in interval notation. - 2x2…

A: Graph of the solution.... Option A is correct. Solution set is (-infinity,-5]

Q: Solve, graph, and give interval notation for the inequality: 3(2z + 8) < 48 AND – 2z + 4 < 2z + 12 5…

A: Given 3(2x+8)≤486x+24≤486x≤48-246x≤24x≤4 and -2x+4&lt;2x+124-12&lt;2x+2x-8&lt;4x-84&lt;x-2&lt;x

Q: Find the maximum value of 7 x – y given the following inequalities in the first quadrant 5 x + 2 y <…

A: solve graphically . Plot the first inequality 5x+2y≤4  by changing it into equality . Then mark the…

Q: Graph the inequality on the axes below. 1 y < -T + 1

A: Given information: The inequality is y&lt;12x+1. Calculation: Find the coordinates of the equation…

Q: 2) Rewrite each of the of the following inequalities expressions in interval notation and graph them…

A: (a)      4 &lt; x  or  x &gt; 4 in interval notation (4, ∞).

Q: Graph the interval represented in inequality notation on t x < 11 Number Line: -12 -10 -8 -6 -4 -2 O…

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Q: b. [x| > -2

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Q: For which of the following compound inequalities is there no solution? O 3m + 7 > 7 and -4m + 8 10…

A: Given, The inequalities  We have to find the inequality which has no solution.

Q: 1. Which of the following inequalities corresponds to the interval [-3, 2)7 A. -3 s x < 2 O B. -3 <…

A: To find  The corresponding inequality to the interval [-3,2).

Q: Which of the following inequalities should be graphed with a dashed line? Select all that apply. a.)…

A: A graph is drawn with a dashed line when the equality sign is not present It can be observed that…

Q: Which of the following linear inequalities matches the given graph below? 12 O y 2x + 3 O y> 2x + 3…

A:

Q: Recall that a &lt; x &lt; b means that a &lt; x and x &lt; b. Also a &lt;= b means that a &lt; b or…

A: a.The given inequalities is

Q: Solve the inequality: 2x + 2 - x < -2 + 5x + 1 half open interval with 3 fourths comma and infinity…

A:

Q: Find the solution set of the following inequalities: (x+3)(x-2) > 0 1. (x+2)(x-1)

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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: I. Find the solution set of the following inequalities and write it in interval notation. Show the…

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Q: Solve, algebraically, each of the following two inequalities. 3 t (i) (20 – z – z²)(x+2) < 0 (ii) 21…

A: Please refer the attached image for complete solution.

Q: 2. Which of the following inequalities matches the graph? x С. 1<x D. 1< x

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

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Q: - Solve each of the following inequalities. |6-5x|s10 |12x+1|s-9 |2w-1<1

A:

Q: Given the following inequalities, fill in the blanks to list the corner points in order from…

A: We are given the inequalities defined by  -x+2y≥05x+12y≤4443x+y≥-113 and we are asked to find the…

Q: Write the interval corresponding to each of the inequalities in parts (a)–(e), and thengraph the…

A: a: -1≤x≤2 b: 2&lt;x&lt;4 c: -2&lt;x≤3 d: x≥3 e: x&lt;5

Q: 2+1 1. <0 x+3

A: A

Q: For which of the following compound inequalities is there no solution? O 3m +7 2 7 and -4m+ 8 3-12 O…

A: To find the compound inequality for which there is no solution. 3m+7≥7  and −4m+8≤−12m+7&lt;8  and…

Q: Solve the following set of Linear inequalities graphically 5х — Зу > 9 -10x + 6y >7

A: We first make tables for the auxiliary equations 5x-3y=9 x 0 3 y -3 2   -10x+6y=7 x -0.7…

Q: h Check if each of these points is a solution to the inequality 2y-x>t: (0, 2) (-6, 3)7, 3) DIesents…

A: Here only one question is seen clearly, check if each of these points is solution to the inequality…

Q: 2. Determine each of the linear inequalities shown by the shaded regions below: 2 2. 1. 3 2 +1

A:

Q: 2-16 2. 20 x²-1 시

A: Given: x2-16x2-1≥0