00:01
Hello, as in this question, given that use a table of signs of the solution of inequality.
00:05
Inequality is given as 4 y minus 3 divided by 2 of y plus of 7 must be greater than equals to 0.
00:13
So here we have to find interval.
00:15
So as we know that if any function is of the form a divided by b and which is greater than equals to 0, this one is implying that two possibilities.
00:22
First possibility is saying that both of a and b are positive.
00:26
Like a is greater and equals to 0 and b must be greater than equal.
00:30
Equals to 0 and second possibility can be if a must be less than equals to 0 then b must be less than equals to 0 then a by b must be positive here because if one is positive then another one must be positive because here our result is positive so as in this question let us take first condition here so if y minus 3 divided by 2y plus 7 is greater than 0 this one is implying here first possibilities y minus 3 must be greater equals to 0 and second condition is 2y plus 7 must be greater than equals to 0 here.
01:03
So by simplifying this, we can write it as y must be greater than equals to 3.
01:07
And here, 2y must be greater than from minus 7 here.
01:11
Or y can be written as here, y must be greater than from minus 7 by 2 here.
01:16
So in this condition, if we take any value between them, then our result must be negative...