Question

Solve the inequality: (x - 1)(x - 4) < 0

Answer 1

@ganeshie8

Answer 2

You can see that for x=1 and for x=4, the equation is 0. So, it should be interesting to probe what sign takes the equation for,
\[x<1\Rightarrow -\cdot -=+\]
\[4>x>1\Rightarrow +\cdot -=-\]
\[x>4\Rightarrow +\cdot +=+\]
So it seems that the only interval that satisfies the inequality is (1,4), and this is the solution.

Answer 3

i dont get it
A. x < 1 or x > 4
B. x < -4 or x > -1
C. 1 < x < 4
D. -4 < x < -1

Answer 4

The C option is equivalent to (1,4). ;)

Answer 5

ohhh ok thank you :)