Question

The solution to the inequality the quantity x minus 4 divided by the quantity x plus 5 is less than 4 is x > -5.
true or false

Answer 1

(x - 4) / (x + 5) < 4
your solution states that x > -5...so if that is true, plug in -6 for x...and if it comes out true, then that is the correct solution. So lets sub.

(-6 - 4) / (-6 + 5) < 4
-10 / -1 < 4
10 < 4

so is 10 less then 4 ??

Answer 2

no