Write the absolute value inequality for the following: do not solve.
the cruise control of a car set a 55mph should keep the speed (s) within 3 mph of 55mph.

  |s -55| ≤ 3

Step-by-step explanation:

"Within 3 mph of 55 mph" means the magnitude of the difference between s and 55 is at most 3. In symbols, this is ...

  |s -55| ≤ 3

y = 12 is a line in which every point has a y-coordinate of 12 no matter what the x-coordinate is. That means that y = 12 is a horizontal line. The equation of line y = 12 can be written as y = 0x + 12 clearly showing m = 0 (slope is zero) and the y-intercept is 12. A line parallel to line y = 12 has the same slope, so its slope is also zero.

A line perpendicular to y = 12 is a vertical line. For a vertical line, the slope is undefined because it involves division by zero which is undefined in math.