cbrtx+1

+ inequation

Solve the inequality!

A inequation with variable

The solution

You have entered [src]

3 ___            
\/ x  + 1 < x - 1

$$\sqrt[3]{x} + 1 < x - 1$$

x^(1/3) + 1 < x - 1

Solving inequality on a graph

Rapid solution 2 [src]

              ____________                         
     3 ___ 3 /       ____            2/3           
     \/ 3 *\/  9 + \/ 78            3              
(2 + --------------------- + -----------------, oo)
               3                  ____________     
                               3 /       ____      
                             3*\/  9 + \/ 78       

$$x\ in\ \left(\frac{3^{\frac{2}{3}}}{3 \sqrt[3]{\sqrt{78} + 9}} + \frac{\sqrt[3]{3} \sqrt[3]{\sqrt{78} + 9}}{3} + 2, \infty\right)$$

x in Interval.open(3^(2/3)/(3*(sqrt(78) + 9)^(1/3)) + 3^(1/3)*(sqrt(78) + 9)^(1/3)/3 + 2, oo)

Rapid solution [src]

   /                 ____________                          \
   |                /       ____                           |
   |               /      \/ 78              1             |
And|x < oo, 2 + 3 /   1 + ------  + ------------------- < x|
   |            \/          9              ____________    |
   |                                      /       ____     |
   |                                     /      \/ 78      |
   |                                3*3 /   1 + ------     |
   \                                  \/          9        /

$$x < \infty \wedge \frac{1}{3 \sqrt[3]{\frac{\sqrt{78}}{9} + 1}} + \sqrt[3]{\frac{\sqrt{78}}{9} + 1} + 2 < x$$

(x < oo)∧(2 + (1 + sqrt(78)/9)^(1/3) + 1/(3*(1 + sqrt(78)/9)^(1/3)) < x)