How do you solve |a+1|\le 4?

Jun 8, 2018

$- 5 \setminus \le a \setminus \le 3$

Explanation:

By definition, $| x | \setminus \le k \setminus \iff - k \setminus \le x \setminus \le k$

So, $| a + 1 | \setminus \le 4 \setminus \iff - 4 \setminus \le a + 1 \setminus \le 4$

Subtract $1$ from all sides to get

$- 5 \setminus \le a \setminus \le 3$