5/4 is accepted as it is > -0.5
The question is , "Solve the inequality 2 - 3x < |x -3|" .
i tried it this way.
squaring both sides, ( 2 - 3x)² < (x - 3)²
8x² - 6x - 5 < 0
equating it to zero, 8x² - 6x - 5 = 0
critical values are, x = -0.5 x= 5/4
using these values, i did a sketch of the curve , and as i was required to find values of x which are < 0 , since 8x² - 6x - 5 < 0 , i got the range as -0.5 < x < 5/4
But the correct answer is x > = - 0.5 only. Why is 5/4 not accepted ?
Thnks in advance.
hey alane1994 , what do you mean when saying "the top" ? I just put the question in between quotes. There are no (") at the end of the absolute value as such.
i dont understand why 5/4 is not accepted.
In the answer, it says, "Fully Justify x > -0.5 as the only answer" :?