The sum of two numbers is 24 and ther difference is 2. What are the number?
2 answers:
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Option B:
The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.
Solution:
Given expression:
To find the equivalent expression for the given expression.
Apply absolute value rule:
<em>If |x| ≤ m then -m ≤ x ≤ m.</em>
⇒ -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.