Question
For $A=\{x \in \mathbf{R}:|x-1| \leq 2\}$ and $B=\{y \in \mathbf{R}:|y-4| \leq 2\}$, give a geometric description of the points in the $x y$-plane belonging to $A \times B$.
Step 1
The set \( A = \{x \in \mathbf{R} : |x-1| \leq 2\} \) represents all real numbers \( x \) such that the distance between \( x \) and 1 is at most 2. This can be rewritten as: \[ -2 \leq x - 1 \leq 2. \] Show more…
Show all steps
Your feedback will help us improve your experience
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD