Inequality Statement Sum

Consider the following six statements: 1) $ x < x^2 < x^3 $ 2) $ x < x^3 < x^2 $ 4) $ x^2 < x < x^3 $ 8) $ x^2 < x^3 < x $ 16) $ x^3 < x < x^2 $ 32) $ x^3 < x^2 < x $ Enter the sum of the labels of statement that hold for some value of $ x $. For example, if you think the statements with labels 2 and 8 hold for some value of $ x, $ then enter $ 2 + 8 = 10 $.

  • 1
  • 2
  • 3
  • +
  • 4
  • 5
  • 6
  • -
  • 7
  • 8
  • 9
  • $\frac{a}{b}$
  • .
  • 0
  • =
  • %
  • $a^n$
  • $a^{\circ}$
  • $a_n$
  • $\sqrt{}$
  • $\sqrt[n]{}$
  • $\pi$
  • $\ln{}$
  • $\log$
  • $\theta$
  • $\sin{}$
  • $\cos{}$
  • $\tan{}$
  • $($
  • $)$
  • $[$
  • $]$
  • $\cap$
  • $\cup$
  • $,$
  • $\infty$