Question

Which conjunction or disjunction is equivalent to the this inequality?

5 - 3 lp+4l ≤ -10

Question 14 options:

A. p + 4 ≤ 5 AND p + 4 ≥ -5


B. p + 4 ≤ 5 OR p + 4 ≥ -5


C. p + 4 ≥ 5 OR p + 4 ≤ -5


D. p + 4 ≥ 5 AND p + 4 ≤ -5

Answer 1

5 - 3lp + 4l ≤ -10

Subtract 5 from both sides.

-3lp + 4l ≤ -15

Divide both sides by -3.

|p + 4| ≤ 5

p + 4 ≤ -5 or p + 4 ≥ 5

Answer is option C. p + 4 ≥ 5 or p + 4 ≤ -5