Question

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

Answer 1

1/5

Explanation:

Because of Khan Academy

100% CORRECT

Answer 2

(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.