Option B:
The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.
Solution:
Given expression: [tex]|a| \leq 5[/tex]
To find the equivalent expression for the given expression.
Apply absolute value rule:
If |x| ≤ m then -m ≤ x ≤ m.
[tex]|a| \leq 5[/tex]
⇒ -5 ≤ a ≤ 5
⇒ -5 ≤ a and a ≤ 5
Switch the sides, we get
⇒ a ≥ -5 and a ≤ 5
The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.
Option B is the correct answer.
