Question

Please help :).......

Answer 1

Option B:

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Solution:

Given expression: $|a| \leq 5$

To find the equivalent expression for the given expression.

Apply absolute value rule:

If |x| ≤ m  then -m ≤ x ≤ m.

$|a| \leq 5$

⇒ -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.