For problems 3 to 6, express your answer as both an interval and  a graph on the real number line. 3. Find the solution set to the inequality 5x−7≤8 4. Find the solution set to the inequality |3x−6|<11 5. Find the solution set to the inequality |2x+5|≥13 6.  Find the solution set to the inequality (x+6)(x−5)<0

Q: Graph the solution to the following inequality on the number line. X^2 < -2x.

A: Given that the inequality is                 x2 &lt; -2x Here we have to graph the solution of the…

Q: What is the solution (in interval notation) to the following inequality below? 23 -x + 8 < 12 O [4,…

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Q: Find the solution set for the inequality x² + x – 6 > 0 -

A: We need to solve the inequality,

Q: The inequality (x + 5)² > 0 has exactly one real number that is not a solution. ODisagree O Agree O…

A: If x takes any real number except -5 then (x+5)^2 always greater than zero. And for x=-5 given…

Q: What is the solution (in interval notation) to the following inequality below? -X+3<8 O -5,0] O [5)…

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Q: Select the correct interval solution to the following inequality: x + 10 ≥ 15 - x Select one: A.…

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Q: [3x-2 h(x)= x<1 if 1<x

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

Q: Solve the following compound inequality. 5z-7<-3-9 < -5z +9

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Q: What is the solution (in interval notation) to the following inequality below: 6 < -6 x O [-1,0] O…

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Q: What is the solution (in interval notation) to the following inequality below? 9-2x<7 + 2(x - 3) O…

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Q: 1. Solve for x. X + 10 18 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: The solution set for f(x) >0 is. Solve the inequality f(x) 2 0, where f(x) = (x + 3)(x- 4), by using…

A: To determine the solution set of the inequality f(x) ≥ 0.

Q: Solve for x and select the correct inequality from below. 10x – 10 <25 O A. x2 3.5 or x<-1.5 O B.…

A: Solution: The objective is to solve the given inequality

Q: Which of the following applies to the interval 0<x<4 for (x)/(x+1)<(x)/(x-4) if the inequality has…

A: Consider 0&lt;x&lt;4 and xx+1&lt;xx-4 Now,…

Q: g(x) = e¯x + e3x

A: Here, we are going to solve only one question and for the remaining question post the questions…

Q: Graph the solution to the following inequality on the number line. x+4x z 12 Note that you can use…

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Q: The result of adding any real negative number to -10 will always be: (There may be more than one…

A: Given real number -10 Let a be any real negative number Result: addition of two negative real…

Q: Solve the inequality f(x) S0, where f(x) = --(x+3)(x-4)°, by using the graph of the function. 80-…

A: f(x) will be less than or equal to zero for all values of x where the graph touches x axis and where…

Q: Solve the following Inequalities and graph the solution set on a real number line. Please show all…

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

Q: Your friend looks at the inequality (1 + 1/x) &gt; 2 and, without any computation, states that the…

A: Given: The inequality (1 + 1/x) &gt; 2 , the solution set of all real number between 0and 1.

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 the inequalities and show the graph of the solution in eachcase on number line:  3 (1 – x)…

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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: What is the solution (in interval notation) to the following inequality below: 8x+ 726x-9 O (*, -8).…

A: Topic = Inequality

Q: What is the solution (in interval notation) to the following inequality below? 7x+12 > 6x - 15 O…

A: Given query is to find solution of the inequality.

Q: Use the given graph to solve the following inequality. Ay 12 f(x) s4 8- The solution set for f(x) s4…

A: The blue line is f(x) For x=3 or more, y or f(x) value is less than or equal to 4 (as shown)

Q: Determine the smallest integer value of x in the solution of the following inequality.−2x+10≤1

A: *to find:- the smallest value of x.

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

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Q: What is the solution (in interval notation) to the following inequality below? -12 < 4xs 20 O [-3,5]…

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Q: Graph the solution to the following inequality on the number line. x² +8x≥-12 Note that you ca…

A: First we will find the zeroes and then fix the interval.

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: Graph the solution to the following inequality on the number line. x2-4x 12 Note that you can use…

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Q: Given inequality is to be solved: 4(x+1)+2 &gt; 3x+6

A: Consider the given inequality.

Q: Graph the solution to the following inequality on the number line. x-4x> 12 Note that you can use…

A: Given: x2-4x≥12 To Graph: Graph the solution to the following inequality on the number line.

Q: -8 < 3x + 1 < 7

A: -8 &lt; 3x + 1 &lt; 7 To solve the inequality.

Q: Graph the solution to the inequality on the number line. |6x+9|> 15 -11-10-9 -8-7 -6 -5 -4-3 -2-1 0…

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Q: Solve for the solution set of the given inequality x² + 2x + 1 > 0

A: Given inequality: x2+2x+1&gt;0 We have to find the set of all those number which satisfies this…

Q: Graph the solution to the following inequality on the number line. x+10x 2-24 Note that you can use…

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Q: For items 5-10. Solve inequality for y. 5. 84x+7y2 70

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: inequality, where x is a real number on the number b.) -2(x-3) < 4x + 6 |

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Q: Solve the following inequality. (x-7)(x+4)°(x-1)>0 Write your answer as an interval or union of…

A: Consider the inequality  x-7(x+4)2(x-1)≥0

Q: Find the real number which satisfies the given inequality- X²-2X + 3 ˃ 0

A: Given query is to find solution of the inequality.

Q: I need help solving the following inequality by using a graphical method. And I have to type the…

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Q: 3 Using the substitution y=|x+1 or otherwise, solve the inequality x+1+2<; x+1 without the use of a…

A: We have to do substitution.

Q: For questions 3-5, choose the correct graph of the given inequality 5. 3. r > 3 A) +4 --…

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Q: Solve the following inequality by using a graphical method. -x^2 + 2x + 1 is greater than or equal…

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Q: The solution of this inequality consists one or more of the following intervals: (-0o, A), (A, B),…

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Q: How would you convince someone that there are infinitely many ordered pairs of real numbers that…

A: How would you convince someone that there are infinitely many ordered pairs of real numbers that…