M-7<6
add 7 to each side
M-7 +7 < 6+7
M < 13
this is true for all values of M less than 13
Answer:
The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.
Step-by-step explanation:
<em>In a plane xy, the equation that represents a circle with center in the origin, of radius r is</em>

<em>in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation</em>

So, in this problem we have that

which means that the sphere has a radius of √3.
<u>Finally, our equation is an inequality</u>, and the sphere is equal to, and less than, the calculated radius.
Therefore, the sphere is "full" from the surface to its center.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We can use the following rule of surds to solve the problem:
,
which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.
Applying this rule:

⇒ 
⇒