The inequality equations are given as |x - 4| ≤ 1 and |y - 6| ≤ 2, then the correct option is B.
What is inequality?
Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
From the diagram, the inequalities equation will be given as
For x, we have
[tex]\begin{aligned} 3 &\geq \ \ \ \ x&\geq 5\\-1 &\geq x-4&\geq 1\end{aligned}[/tex]
Then after the mode function, we have
[tex]|x-4|\leq 1[/tex]
Similarly, for y, we have
[tex]\begin{aligned} 4 &\geq \ \ \ \ y&\geq 8\\-2&\geq y-6&\geq 2\end{aligned}[/tex]
Then after the mode function, we have
[tex]|y-6|\leq 2[/tex]
More about the inequality link is given below.
https://brainly.com/question/19491153