Mathematics Middle School

Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets: Two solutions: x=2, x=14

Answers

Answer 1

Answer:

Given : equations in the form x−b=c and solution sets

To find : Find expression / equation

Solution:

x−b=c

2 - b = c

13 - b = c

only possible

if | 2 - b| = | 13 - b|

=> 13 - b = b - 2

=> 2b = 11

=> b = 11/2

x - 11/2 = √25

x=23

=> x + 2 = 25

1/2 - b = b + 1/3

=> 2b = 1/6

=> b = 1/12

x - 1/12 = √(25/144)

x = - 3

=> x + 3 = 0

x=−4.1.

=> x + 4.1 = 0

All numbers such that x≥5.

x - 5 ≥ 0

All numbers such that x≤5.

x - 5 ≤ 0

All numbers such that x≤−14.

=> x + 14 ≤ 0

All numbers such that x≥−1.3.

=> x + 13 ≥ 0

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Figure A

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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-yO mAmA

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Use the ranges listed in the table below:

Answers

Answer:

Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

9x = 27

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Step-by-step explanation:

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Answers

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Answers

Answer:

I think biased

Step-by-step explanation:

Answer:

A sample is considered to be

biased

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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