What is the properties used for Blank 1 and 2?

Mathematics

2 answers:

sammy [17]3 years ago

7 0

Answer:

Symmetric Property

Step-by-step explanation:

Nikolay [14]3 years ago

5 0

It should be Symmetry Property

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|x-7|+5 is greater than or equal to 3

jonny [76]

$\large\begin{array}{l} \textsf{Solve the absolute value inequality:}\\\\ \mathsf{|x-7|+5\ge 3}\\\\ \mathsf{|x-7|\ge 3-5}\\\\ \mathsf{|x-7|\ge -2}\\\\\\ \textsf{Since absolute values always give a non-negative number,}\\\textsf{every real value for x satisfies the inequatily:}\\\\ \textsf{For all }\mathsf{x\in\mathbb{R},}\\\\ \mathsf{|x-7|\ge 0>-2}\\\\\\ \therefore~~\mathsf{|x-7|\ge 2}\\\\ \textsf{regardless of the value of x.} \end{array}$

$\large\begin{array}{l} \textsf{Solution set: }\mathsf{S=\mathbb{R}.} \end{array}$

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$\large\textsf{I hope this helps. :-)}$

Tags: <em>absolute value inequatily solve solution algebra</em>

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