Solve this: Draw the sign scheme1) x - 22 x - 3x - 1 02) x - - Maths - Linear Inequalities

Question

Solve this:

D r a w   t h e   s i g n   s c h e m e 1 )   x
  -   2 2   x   -   3 x   -   1
  >   0 2 )   x   -   2 2   x
  -   3 x   -   1   ≥  
0

Aarushi Mishra · Accepted Answer

x-22 x-3x-1>0Note: Critical points are given byx-2=0x=2x-3=0x=3x-1=0x=1Sign will change around the point whose expression has odd power and will remain same around the point whose expression has even power
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b00f9c51c9d4%20png"
style="width: 432px; height: 171px;">
x∈-∞,1∪[3,∞)∪2Note: We have included 2 because at x=2, expression is 0

Solve this: D r a w t h e s i g n s c h e m e 1 ) x - 2 2 x - 3 x - 1 > 0 2 ) x - 2 2 x - 3 x - 1 ≥ 0

Solve this:

$D r a w t h e s i g n s c h e m e 1) \frac{{(x - 2)}^{2} (x - 3)}{x - 1} > 0 2) \frac{{(x - 2)}^{2} (x - 3)}{x - 1} \geq 0$