Use inspection to describe the inequality’s solution set (x - 2)2 ≤ 0. Do not solve the inequality.

Q: Explain how to solve the inequality (x + 1)(x - 2) • (x - 3) > 0.

A: Given: x+1x-2x-3>0 Apply the property ab=0 if and only if a=0 or b=0. x+1=0x=-1 x-2=0x=2…

Q: Express the interval as an inequality in the variable x.

A: We have the given interval as   [4, ∞)   Square brackets mean that 4 is also included in the…

Q: A triangle has two sides of length 18 and 17. What compound inequality describes the possible…

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Q: A triangle has two sides of length 20 and 4. What compound inequality describes the possible lengths…

A: Sum of two sides of triangle is greater than third side

Q: Solve the inequality and express the solution set usir -3(x + 2) > 2(x – 6)

A: To Determine: solve the inequality and express the solution set  Given: we have an inequality…

Q: Explain why the inequality x2 - x + 1 < 0 has the empty set as the solution set

A: Given inequality: x2-x+1<0

Q: Give a non-trivial example of linear inequality in 1 variable that has the solution set (-2,5].

A: To find such a non trivial inequality using as variable x we can see that for required inequality…

Q: Solve the inequality X2 - 4x + 4 / 5x - X2 less than and equal to 0. Appropriate sign chart must be…

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Q: I have to solve the inequality then write my answer in interval notation. Can you please help me?…

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Q: find an absolute value inequality whose solution set is (-4,4). explain in detail to justify it

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Q: Explain the difference between using an open dot and a closed dot when graphing a solution set to a…

A: Concept:

Q: Solve the linear inequality. Other than Ø, use interval notation to express the solution set and…

A: Given,          2x+10<26

Q: When graphing a linear inequality, I should always use (0, 0) as a test point because it’s easy to…

A: Solution:GivenWhen graphing a linear inequality, I should always use (0, 0)as a test point because…

Q: When solving an inequality, when must you reverse the direction of the inequality symbol?

A: We have to write the condition when direction of the inequality symbol get reverse. We know that…

Q: Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5. Then graph…

A: Given:- Give an inequality whose solutions are the ordered pairs (x,y) that add up to at most 5.…

Q: Express the interval in terms of an inequality involving absolute value.  [−2, 2]

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Q: express the solution set for the compound inequality using interval notation −2<2x+4<2

A: We need to calculate the inequality, given below:  - 2 &lt; 2x+4 &lt; 2 Adding -4 to all sides of…

Q: Express the interval in terms of an inequality involving absolute value. (-2.4, 1.9)

A: We know that the open intervals (a, b) can be expressed as an inequality with absolute value…

Q: A triangle has two sides of length 14 and 19. What compound inequality describes the possible…

A: Two side lengths of a triangle are 14 and 19.

Q: When solving a linear inequality, describe what happens if the solution set is (– o, 0).

A: If the solution set of the linear inequality is :…

Q: Describe how to solve an absolute value inequality of the form |u| 0.

A: The absolute value of any input number gives the positive out put value . By the definition of…

Q: Solve the inequality using a graphing utility : 1/(x + 1) ≤ 2/(x + 4)

A: 1x+1≤2x+4 The graph is,

Q: Pretend that you are allowed to go within 9 of the speed limit of 65 mph without getting a ticket.…

A: Given speed = 65 mph Allowed range = 9 mph

Q: Solve the inequality (x – 6)(x – 4)° > 0 -

A: Given : x-6x-42&gt;0

Q: Solve the linear inequality. 15-9x >-4

A: When adding a constant every side in an inequality, the inequality remains same. When multiplying a…

Q: How can Lin determine whether x > 1 or x <1 is the solution to the inequality?

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Q: Express the solution of the compound inequality in interval notation -2 s x and -22 x

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: What is the solution set of the compound inequality x +1<-2 x + 11 <3 x+ 5? 10 -2<x< No solution

A: Consider the inequality, x + 1 &lt;  - 2x + 11 &lt; 3x + 5 To apply the property, If,  a&lt;u&lt;b…

Q: ト 羊年 Example: Find the solution set that satisfies the inequality 2x+ 5<3x-7and then represent the…

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Q: Solve the inequality x(x + 3)²(x + 1)(x – 2)² > 0. Graph the - solution set and write it in interval…

A: Given,           xx+32x+1x-22≥0

Q: How is the process to solve a linear inequality different from the process to solve a linear…

A: How is the process to solve a linear inequality different from the process to solve a linear…

Q: Solve the inequality: |x² – 3x – 5| <5• A. (-2,5): B. (-2,0) u (3,5). - (-00,0) u (3, ∞ ). С. D.…

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Q: Express the interval using inequality notation. (-00, –7) U (2, o)

A: We can express the answer using inequality notation as below.

Q: How to write a linear inequality in one variable using the sum of five eighths of a number and 10 is…

A: "a" is strictly less than "b" can be represented by a &lt; b

Q: Write the inequality in interval notation. 1. -1 <x < 8 2. x 2 20

A: Write the inequality in interval notation  2.      x⩾20

Q: Express the fact that x differs from - 3 by more than 2 as an inequality involving an absolute…

A: To express: The fact that x differ from -3 by more than 2 as inequality involving a absolute value…

Q: 2. Explain how a test point can be used to determine the solution to an inequality.

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Q: The average starting salary for an editor at a techs company is 39,800 the actual salaries can vary…

A: Given that , Starting salary = 39800 Find the range of the starting salaries of the company.

Q: Express the interval as an inequality in the variable x.

A: -4, -1

Q: For Exercise, solve the inequality. Graph the solution set and write the solution set in set-builder…

A: LCM of 3,4 and 6 is =12 Multiply both sides by 12 to get rid of the fractions.

Q: Solve the inequality 3-x/x+2 greater than or equal to 4

A: Consider the given information 3-xx+2greater than or equal to 4

Q: The interval (2, 5) can be written as the inequality ________.

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Q: A triangle has two sides of length 10 and 15. What compound inequality describes the possible…

A: Properties of triangle: The sum of two sides of triangle is always greater than the third side. The…

Q: What is the solution set of the inequality 2¬**² < 2* ?

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Q: Solve the inequality X2 - 4x + 4 / 5x - X2 greater than and equal to 0 . Appropriate sign chart must…

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Q: х — 4у <8

A: The given inequality is  x - 4y &lt; 8

Q: Зх + 2у 26

A: We will use basic algebraic operations to simply the given inequality and then plot the respective…