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## Which Number Line Represents The Solutions To –2|X| = –6?

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## Question

Which number line represents the solutions to |x – 2| = 6?

## Answer

Since this is an absolute value expression you have to solve for both the positive and negative case.x-2=6 add two to both sidesx=8andx-2=-6 add two to both sidesx=-4So x=-4 and 8So the solution on the number line is solid dots as x=-4 and x=8

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PDF Lesson: Inequalities Lesson Topic: Plot inequalities on a – Which inequality is represented by the number line above? x > 2 x ≤ 2 x < 2 x ≥ 2 x = 2 Which of the following are solutions to the inequality: a ≤ 5? Check all that are true. a = 6 a = 5 a = 0 a = 15 Which of the following inequalities correctly represents the number of cookies Victor wants for the bake sale? c > 10 dozen cSTEP 4: Represent the solution on your number line. For "greater than or equal to" or "less than or equal to" questions, you need to use a solid dot to include the point. So, we need to place a solid dot on -5. Then, determine if the line should point to the left (negative) or to the right (positive).Transcript. Misc 9 Solve the following inequalities and represent the solution graphically on number line: 3x – 7 > 2(x – 6), 6 – x > 11 – 2x Solving 3x – 7 > 2(x – 6) 3x – 7 > 2x – 12 3x – 2x > – 12 + 7 x > -5 Solving 6 – x > 11 – 2x -x + 2x > 11 – 6 x > 5 Thus, x > – 5 & x > 5 Thus, x > -5 & x > 5 The graphical representation is Here 5 is not included in the

Number Line Examples – Negative and Positive Number Line – The line AB represents this equation. Consider the inequality x + 2y ≤ 10 putting x = 0, y = 0, we get 0 ≤ 10 which is true. ∴ Origin lies in the region of x + 2y ≤ 10. ∴ Region lying below the line AB and the points lying on it represents x + 2y ≤ 10 (ii) l 2: x + y = 1 passes through (1, 0) and (0, 1). Thus line CD represents thisAlso represent its solution on the number line. CISCE ICSE Class 10. Question Papers 301. Textbook Solutions 25526. Important Solutions 2865. Question Bank Solutions 25275. (2)` ∵ x ∈ Z ∴ Solution set = {-5, -4} Solution set on Number line. Concept: Representation of Solution on the Number Line.89" " " " & " >! ()() −−

Misc 9 – Solve 3x – 7 > 2(x – 6), 6 – x > 11 – 2x | CBSE – Represents the solutions to {eq}-2|x| = -6 {/eq} on the number line. Absolute Value Equations: An absolute value equation is an equation with absolute value terms.Which number line represents the solutions to -2|x| = -6? A number line from negative 8 to 8 in increments of 1. Two points, one at negative 6 and one at negative 2. A number line from negative 8 to 8 in increments of 1. Two points, one at negative 8 and one at negative 4. A number line from negative 8 to 8 in increments of 1.Which number line represents the solutions to -2|x| = -6?-3 and + 3. To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that