Question

solve the inequality (6x+21)(94x-63)<=0
write answer in interval notation

Answer 1

i got \[\frac{ -7 }{ 2 }\ge x \ge \frac{ 63 }{ 94 }\]

Answer 2

then in notation i wrote (-infinity,-7/2]U[63/94,infinity)

Answer 3

and it says its wrong :/

Answer 4

ohh, you put the wrong interval, but your solution was good.

Answer 5

the interval should be: \(\large\color{black}{ [-\frac{\LARGE 7}{\LARGE 2} ,\frac{\LARGE 63}{\LARGE 94} ~ ] }\)

Answer 6

the reason is, because your x solution is from (and including,) \(\large\color{black}{ -\frac{\LARGE 7}{\LARGE 2} }\) and
till (and including,) \(\large\color{black}{ \frac{\LARGE 63}{\LARGE 94} ~. }\)

Answer 7

what you wrote for interval notation would satisfy the: \(\large\color{black}{(6x+21)(94x-63)\ge0 }\)