Which conjunction or disjunction is equivalent to the this inequality?

5-3 |p+4| < = - 10

p + 4 ≤ 5 AND p + 4 ≥ - 5

p + 4 ≤ 5 OR p + 4 ≥ - 5

p + 4 ≥ 5 OR p + 4 ≤ - 5

p + 4 ≥ 5 AND p + 4 ≤ - 5

Question

Jamison Lyons

Mathematics

29 November, 06:53

Which conjunction or disjunction is equivalent to the this inequality?

5-3 |p+4| < = - 10

p + 4 ≤ 5 AND p + 4 ≥ - 5

p + 4 ≤ 5 OR p + 4 ≥ - 5

p + 4 ≥ 5 OR p + 4 ≤ - 5

p + 4 ≥ 5 AND p + 4 ≤ - 5

+4

Answers (1)

Know the Answer?

Jonathon Sloan · Answer 1

(5 - 3) |p + 4| ≤ - 10

=> (2) |p + 4| ≤ - 10

=> | p - 4 | ≤ 10 / 2

=> | p - 4 | ≤ 5

=> (p + 4) ≤ - 5 and - (p+4) ≤ - 5

- (p + 4) ≤ - 5 is equivalent to p + 4 ≥ 5

So, the answer is p + 4 ≤ - 5 and p + 4 ≥ 5. That is the fourth option

p + 4 ≥ 5 AND p + 4 ≤ - 5.

Which conjunction or disjunction is equivalent to the this inequality?5-3 |p+4| < = - 10p + 4 ≤ 5 AND p + 4 ≥ - 5p + 4 ≤ 5 OR p + 4 ≥ - 5p + 4 ≥ 5 OR p + 4 ≤ - 5p + 4 ≥ 5 AND p + 4 ≤ - 5

Which conjunction or disjunction is equivalent to the this inequality?

5-3 |p+4| < = - 10

p + 4 ≤ 5 AND p + 4 ≥ - 5

p + 4 ≤ 5 OR p + 4 ≥ - 5

p + 4 ≥ 5 OR p + 4 ≤ - 5

p + 4 ≥ 5 AND p + 4 ≤ - 5