Question

Solve the inequality.
−9<−1/5x









Solve the inequality.

−9<−1/5x

Answer 1

Answer: (−∞,0)∪(1/45,∞)

Answer 2

Multiplying a negative and a positive equals a negative: (-) × (+) = (-)

$- 9 < - \frac{ 1}{5} x$

Multiplying both side of the inequality by -5 and flip the inequality sign:

$( - 5) \times ( - 9) = 45$

$45 > x$

Now, swap the sides of the inequality and flip the inequality sign:

$x < 45$