(3x)/(4)-(4x-3)/(5)>1,x in R

(3x)/4-(4x-3)/5gt1, x in R

If f(x)=((3)/(5))^(x)+((4)/(5))^(x)-1,x in R, then the equation f(x)=0 has :

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

(2x+3)/4+2le1/4+(4x)/3,x in R

(4x-3)/5-(5x-3)/8=1

If x is real and (x-1)/(4x+5)<(x-3)/(4x-3) then x lies in the interval

Show that f(x)=x^(3)-3x^(2)+4x, x in R is strictly increasing on R.

Show that function f given by f(x)=(1)/(5)x^(5)-3x^(4)+12x^(3)+4x, x in R is stictly increasing on R.

Show that function f given by f(x)=(1)/(5)x^(5)-3x^(4)+12x^(3)+4x, x in R is stictly increasing on R.

(x+5)/(4)=(1-x)/(3x-4) If the solutions to the equation above are r and s with rgts , what is the value of r-s?