Question

Solve the inequality: 9x - 7i > 3(3x + 7u)

(a) x > 3u
(b) x < -3u
(c) x > -3u
(d) x < 3u

Answer 1

To solve the inequality 9x - 7i > 3(3x + 7u), simplify the right side and isolate the variable x. The solution is x < -3u.

Step-by-step explanation:

To solve the inequality 9x - 7i > 3(3x + 7u), we can distribute the 3 to simplify the right side: 9x - 7i > 9x + 21u. Now, we can subtract 9x from both sides to isolate the variable: -7i > 21u. To solve for x in terms of u, we divide both sides by -21: x < -¾u. Therefore, the correct answer is (b) x < -3u.