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zlopas [31]
2 years ago
12

Which expression is equivalent to |a|≤3 ?

Mathematics
2 answers:
weqwewe [10]2 years ago
8 0
<h3>Answer: Choice 2.   a \ge -3 \ \text{ and } \ a \le 3</h3>

=====================================================

Explanation:

The rule is that if |a| \le k for some positive number k, then it can be written as the compound inequality -k \le a \le k. This is a shorthand way of writing the two inequalities a \ge -k \ \text{ and } \ a \le k combined together.

note: -k \le a is the same as a \ge -k

From here, we replace k with 3

Therefore, |a| \le 3 turns into -3 \le a \le 3 which breaks down further to a \ge -3 \ \text{ and } \ a \le 3

The keyword "and" is important as we can't pick one or the other. We must pick both a \ge -3 and also a \le 3

Nonamiya [84]2 years ago
4 0

Answer:

Choice 2.  

Step-by-step explanation:

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