Carcass wrote:
Attachment:
GRE If x is a number.png
If x is a number in the interval shown, which can be a value of x?
Indicate all such values.
A. \(- \sqrt[5]{33}\)
B. \(- \frac{1}{4}\)
C. \(- \pi\)
D. \(\sqrt[3]{8}\)
E. \(\sqrt{5}\)
F. \(\frac{\pi}{2}\)
G. \(\frac{13}{3}\)
A solid dot at both ends means less than equal to and greater than equal to
i.e. \(-4 ≤ x ≤ 2\)
A. \(- \sqrt[5]{33} = -33^{\frac{1}{5}}\)Since \(32^{\frac{1}{5}} = 2\), so \(-33^{\frac{1}{5}}\) will be a number slight lesser than \(-2\)
B. \(- \frac{1}{4} = -0.25\)C. \(- \pi = -3.14\)D. \(\sqrt[3]{8} = 8^{\frac{1}{3}} = 2\)E. \(\sqrt{5} = 2.23\)F. \(\frac{\pi}{2} = \frac{3.14}{2} = 1.57\)G. \(\frac{13}{3}\) = 4.33Hence, option A, B, C, D, and F