How do you determine what test intervals to use when solving quadratic and rtiomal inequalities and what is the significance of the expression being negative >0 and things like that. I attached an example below of what I am talking about.

intervals are as follows. (-00,-1) (-1,1) Intervals Test value (-00, - 1) (-1,1) (1, 4) (4, 00) 0 2 5 - 2 Sign of x2 -3x-4 (-2)2-3(-2)-4 02 -3(0)-4 22 -3(2)-4 52 -3(5) -4 x-1 -2-1 0-1 2-1 5-1 =-20 =-6 2. Ifand only estillsuperl Isnotall girivine : sabu Practice Exercise 2: Solving Linear Inequalities Solve the linear inequality -? 15-10t . Value Inequalities Inequality 12-1 10 Add 1 to all parts of the the pusity Metuply by - on bach sides of ton these