Question

Write as an inequality -1/3(p + 9) ≤ 4.

A) p ≥ -39
B) p ≤ -33
C) p ≥ 27
D) p ≤ 33

Answer 1

The inequality is :p ≥ -21. None of the given options is answer.

Step-by-step explanation:

To solve the inequality -1/3(p+9) ≤ 4, we can follow these steps:

Combine multiplied terms into a single fraction:

-1 (p+9) / 3 ≤ 4

Distribute:

(-p - 9) /3 ≤ 4

Eliminate fraction denominators:

3 * ( -p - 9) /3 ≤ 3 * 4

Cancel multiplied terms that are in the denominator:

- p - 9 ≤ 3 * 4

Multiply the numbers:

- p - 9 ≤ 12

Add/subtract to both sides:

- p - 9 + 9 ≤ 12+9

Simplify:

-p ≤ 21

Divide both sides by the same factor, and flip the relation because the factor is negative:

-p / -1 ≥ 21 / -1

Simplify:

p ≥ -21

None of the given options is answer.