Consider the equation y = −6. Which statement is TRUE?

Mathematics

2 answers:

RideAnS [48]3 years ago

7 0

y = 0x - 6 has a slope of 0

If you graph several points for x where y = -6, <em>(0, -6), (1, -6), (2, -6), etc </em>you will see that it creates a horizontal line

Answer: B

Maksim231197 [3]3 years ago

7 0

The graph of the equation is a horizontal line with a slope of zero. (B)

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$\boxed{\text{A. }\math{\left \{ x \, | \, x \in \mathbb{R}, x < -2 \right \}}}}$

Step-by-step explanation:

The open circle means that the point is not included in the solution set, and the arrow pointing left means that all numbers less than -2 are members.

In set-builder notation, each term has a special meaning. The braces enclose the members of the set.

Here's how you translate the notation,

$\begin{array}{rcl}\\\left \{ & = & \text{The set of}\\x & = & \text{all x values}\\| & = &\text{such that}\\x & = & x\\\in & = &\text{is a member of}\\\mathbb{R}, & = &\text{all real numbers, and}\\x < -2 & = & \text{x is less than -2}\\\end{array}\\\text{The answer is }\boxed{\textbf{A. }\mathbf{\left \{ x \, | \, x \in \mathbb{R}, x < -2 \right \} }}}$