Solve the following inequality. 21 \leqslant - 3(x - 4) < 30 (Answers in attachment)​

Question

Solve the following inequality.


`21 \leqslant - 3(x - 4) < 30`
(Answers in attachment)​

Answer 1

A -6 < x ≤ -3

Explanation:

Answer 2

A -6 < x ≤ -3

Explanation:

21 ≤ - 3(x - 4) < 30

Divide all parts by -3. Remember that flips the inequalities

21/-3 ≥ - 3/-3 (x - 4) > 30/-3

-7 ≥ (x - 4) > -10

Add 4 to all sides

-7+4 ≥ x - 4+4 > -10+4

-3 ≥ x > -6

Rearranging the order

-6 < x ≤ -3