Which conjunction or disjunction is equivalent to the following inequality?

|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

Question

Haleigh Estes

Mathematics

1 September, 02:27

Which conjunction or disjunction is equivalent to the following inequality?

|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

+1

Answers (1)

Know the Answer?

Kathryn Ashley · Answer 1

Use the general definition:

|x - a| ≤ k = > - k ≤ x - a ≤ k

So, |a - 9| ≤ 4 = > - 4 ≤ a - 9 ≤ 4

Which is a - 9 ≥ - 4 and a - 9 ≤ 4.

That is the second option.

Answer: a - 9 ≤ 4 and a - 9 ≥ - 4

Which conjunction or disjunction is equivalent to the following inequality?|a - 9| ≤ 4a - 9 ≤ 4 AND a - 9 ≤ - 4a - 9 ≤ 4 AND a - 9 ≥ - 4a - 9 ≤ 4 OR a - 9 ≤ - 4a - 9 ≤ 4 OR a - 9 ≥ - 4

Which conjunction or disjunction is equivalent to the following inequality?

|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4