Question 1011130
{{{x^2 + 2x - 35 < 0}}}

{{{x^2 -5x+ 7x - 35 < 0}}}

{{{(x^2 -5x)+ (7x - 35) < 0}}}

{{{x(x -5)+ 7(x - 5) < 0}}}

{{{(x-5) (x+7)<0}}}

solutions:

{{{(x-5)<0}}}=>{{{x<5}}}

{{{ (x+7)<0}}}=>{{{x>-7}}}

{{{-7<x<5}}}

interval notation:

({{{-7}}},{{{ 5}}})


{{{drawing( 600,600, -10,10, -40, 10,
blue(line(-7,0.15,5,0.15)),
locate(-6,-5,shade_this_area_under),

locate(-6,-10,blue_line),
 graph( 600,600, -10,10, -40, 10, x^2 + 2x - 35)) }}}