Powers & inequalities (3)

Algebra Level 3

Which of the following inequalities doesn't make sense ?

ı 4 + ı 8 < 6 \imath^4+\imath^8<6 ı 0 < 200 7 \imath^0<\frac{200}{7} ı 3 + 4 ⋅ 399123 ⋅ ( − ı ) > − 3 \imath^{3+4\cdot 399123}\cdot (-\imath)>-3 50 − ı 777 ⋅ 4 + 6 > 1 50-\imath^{777\cdot 4 +6}>1 ı 4 < 3 + ı 3 \imath^4<3+\imath^3 ı 4 ⋅ 9731 + 0 ⋅ ı ı > 0 \imath^{4\cdot 9731}+0\cdot \imath^\imath>0

Vittorio Bertoletti by Vittorio Bertoletti , 26, Italy

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1 solution

ı 4 < 3 + ı 3 ⇔ 1 < 3 − ı \imath^4<3+\imath^3\Leftrightarrow 1<3-\imath and this expression doesn't make sense because − ı -\imath is not a real number so we cannot "compare it" with a real number by using the symbol < < .

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