Question

Solve the inequality: (x + 3)(x - 5) < 0.
A. x < -3 or x > 5
B. x < -5 or x > 3
C. -3 < x < 5
D. -5 < x < 3

Answer 1

c

Answer 2

what about this?

Solve the inequality: (x + 3)(x - 5) > 0.
A. x < -3 or x > 5
B. x < -5 or x > 3
C. -3 < x < 5
D. -5 < x < 3

Answer 3

a

Answer 4

the sign is flipped?

Answer 5

you have to solve for x first

Answer 6

-3,5

Answer 7

\(\Large (x + 3)(x - 5) < 0\)

\(\Large \color{red}{Case \ 1:} \begin{cases} x+3<0 \\ x-5>0 \end{cases}\Leftrightarrow \begin{cases} x<-3 \\ x>5 \end{cases}\) \(\Large \Rightarrow \)No solution

\(\Large \color{red}{Case \ 2:}\begin{cases} x+3>0 \\ x-5<0 \end{cases}\Leftrightarrow \begin{cases} x>-3 \\ x<5 \end{cases} \Rightarrow -3<x<5\)

Thus, the corect answer is \(\huge \color {blue}{C}\)

Answer 8

look how @JungHyunRan broke it down for you

Answer 9

ah got it, thanks