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if r > 0 and s >0, then the solution to the inequality 3(x-r)2 >s will cover more of the number line when 

a. r is increased

b. r is decreased

c. s is increased

d. s is decreased

6 years ago

Answered By Xuezhong J

If x  $>$> r,   then x  $>$> r+      $\sqrt{ }$√ s/3,   

If x $<$< r,   then  x <  r -   $\sqrt{ }$√ s/3,  see drawing:

not covered part is 2 r = r +  $\sqrt{ }$√ s/3  + r-   $\sqrt{ }$√ s/3,   if r  increased, then cover less of line number,

 

If r decreased, cover more of line number.

so correct number is  b).

 

Attached Whiteboard:

  Play Drawing

Attached Graph:

6 years ago

Answered By Xuezhong J

Not cover number line shall be  2   $\sqrt{ }$√ s/3  = ( r+   $\sqrt{ }$√ s/3) - ( r -   $\sqrt{ }$√ s/3),  so  S decreased,  cover more of line number.  Correct answer is d).