2018 · Q36
For 0 < m < 1, which one of the following is correct?
Elementary MathematicsAlgebra
- Alog₁₀ m < m² < m < m⁻¹
- Bm < m⁻¹ < m² < log₁₀ m
- Clog₁₀ m < m < m⁻¹ < m²
- Dlog₁₀ m < m⁻¹ < m < m²
Explanation
For 0 < m < 1, log₁₀m is negative while 0 < m² < m < 1 < m⁻¹ (e.g. m = 0.1 gives −1 < 0.01 < 0.1 < 10). Hence log₁₀m < m² < m < m⁻¹, option (A).