The inequality xlog2⁡x≥2 is satisfied by

xlog2⁡x≥2,x>0⇒ xlog2⁡x≥4Taking log on both sides with base 2, we get     log2⁡xlog2⁡x≥2 or     log2⁡xlog2⁡x≥2 or     (1/2)log2⁡xlog2⁡x≥2 or     log2⁡x2≥4 or     log2⁡x−2log2⁡x+2≥0⇒    log2⁡x≤−2  or  log2⁡x≥2⇒    x≤1/4 or x≥4⇒    x∈(0,1/4]∪[4,∞)