Express interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)

Q: Solve the inequalities , expressing the solution setsas intervals or unions of intervals. Also, show…

A: x<2

Q: express each interval as an inequality using the variable x. For example, we can express the…

A: Given to express each interval as an inequality using the variable x.  If the interval is open then…

Q: Describe all numbers x that are at a distance of 1 from the number 6. Express this using absolute…

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Q: Express the interval in set-builder notation and graph the interval on a number line. (- 00,7.2) The…

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Q: Express the inequality in interval notation:    -4 ≤ x < 19

A: -4 ≤ x &lt; 19

Q: Find the solution of the linear inequality and express the solution set in​ set-builder notation and…

A:

Q: Choose any points a and b on a number line. Find the values of a-b and b-a. What do the absolute…

A: Let  a=0  and  b=1

Q: Cities A and B are on the same east-west line. Assume that city A is located at the origin. If the…

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Q: Solve the inequality. Graph the solution on the number line and then give the answer in interval…

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Q: Determine the values of the variable for which the expression is defined as a real number. (Enter…

A: SolutionDetermine  the value  of the variablefor which  the expression is defined  as a  real…

Q: Use absolute value notation to define the interval (or pair of intervals) on the real number line.…

A: *To find, Absolute value interval (in terms of x).

Q: Express the interval (0, 8) in terms of an inequality involving absolute value. (Use the variable x…

A: Find the mid point of the interval (0,8) of the form (a, b).

Q: Solve the inequality. Describe the solution set as an inequality, in interval notation, and in a…

A: To find the solution for the given inequality separate x and constant terms to different sides of…

Q: Describe all numbers x that are at a distance of 2 from the number 6.

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Q: 2. Set notation Interval notation -1 0

A: Topic = Inequality

Q: 2. Explain, using an example, how the distance between two points on a number line can be expressed…

A: Solution: The 2D distance between two points is measured by the distance formula. Consider points P1…

Q: 4. Set notation Interval notation -6 -4 2 4

A:

Q: Express the interval in​ set-builder notation and graph the interval on a number line. (−6,∞) The…

A: The given interval is -6,∞. We have to express this interval in set-builder notation. Here, interval…

Q: Find an inequality involving an absolute value that describes the set. (Let x represent a real…

A: an absolute value inequality is an expression with absolute function as well as inequality…

Q: Find the intersection and union for every positive integer i, when Ai = (-∞, i ], that is the set of…

A: The union and intersection are two important set operations. The union is the addition of sets. When…

Q: Solve -4 - -6

A: First we draw the number line   Given -4--6 This can be written as -4-(-6) We know that -(-a)=a So,…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. I…

A: Interval notation is used to decribe the inequalities and soutions to inequalities. In this method…

Q: set of positive real numbers between 1 and 3

A: There are two ways to define sets. In first, we include 1 and 3. In second, we exclude 1 and 3.

Q: Which inequality belongs to the following interval notation? [5, ∞)

A: Given the data is [5,infinity).

Q: Write interval notation 3z + 4 > -11

A:

Q: Suppose that y and x are real numbers with y – 4x = 6. Find the least possible value of the |-…

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Q: Describe all numbers x that are at a distance of 3 from the number 9. Express this using absolute…

A: To describe all numbers x that are at a distance of 3 from the number 9

Q: 59-60 - Intervals Express each set in interval notation. 59. (а) -3 5 (b) -3 5 60. (а) 2 (b) -2

A: 59) a) According to the given graph -3 and 5 both are included so solution set is -3≤x≤5 and in…

Q: (a) On the real number line, graph all numbers x for which x &gt; 4.(b) On the real number line,…

A: (1) we have to graph all numbers x for which x &gt; 4. The shaded region represents the shaded…

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: Distance between 2 and 17: 2-17=-15=15

Q: express the inequality in interval notation -9<x<6

A:

Q: Solve each indentity. Graph the solution on a number line and express it in interval notation. a.…

A: a. Consider the inequality: 43x+7≥26x+14 ……1

Q: Write the interval in set notation. (-00, 2) {x-00 < x <2} O x 1 2 < x < 00} O x 1 2 ≤ x < 00} O…

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Q: please solve and show your work

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Q: For Exercise, graph the set and express the set in interval notation. {|= } 9. 2.

A: -9/2= -4.5 So, Draw a number line. There mark the right side of -4.5

Q: Express the solution set in interval notation and graph the set on a number line. The solution set…

A: Given: solution sets consists of real numbers &lt; -3To graph this in the interval notation

Q: 3. Set notation Interval notation -4 -3 -2

A: The given graph is: Find the set notation and interval notation.

Q: Use interval notation to represent all values of x satisfying the given conditions. y = 9- +3 and y…

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Q: Express the interval in set-buikder notation and graph the interval on a number line. Select the…

A: Given: x∈7,9 Given interval can be written in set builder form as  x|x∈R, 7≤x≤9

Q: Describe all the x-values at a distance of 19 or less from the number 9. Enter your answer in…

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Q: Express the interval in set-builder notation and graph the interval on a number line. [0,7] Select…

A: To express the interval [0,7] in Set Builder notation: Solution Set for the interval [0,7] is…

Q: Express the interval in set-builder notation and graph the interval on a number line. (- 00,1)…

A: We have to express the interval (-∞, 1) in set-builder notation and graph on a number line.

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: Express the distance between the given numbers using absolute value. Then find the distance by…

Q: Express the interval in set-builder notation and graph the interval on a number line. (4,8] .....…

A: In this question we have to find set builder form of the given interval.

Q: G2 show that the set of real numbers 7s Uncountable.

A: Since you have asked multiple questions, we will answer first one for you. If you want any specific…

Q: Describe all numbers x that are at a distance of 5 from the number 7. Express this using absolute…

A:

Q: Find the solution set for the inequation (-2-3) < -1 (you may express your answer interval notation…

A:

Q: Solve the inequality and graph the solution set. Write the solution set in (a) set-builder notation…

A: Consider the given inequality -34z-4&gt;-1. Solve the given inequality for z as follows.…

Q: Use inequality notation to represent the set. y is no more than 42.   Use interval notation to…

A: Given, y is no more than 42.