Question

求下列不等式的解集:

(1)|2^x-1|≥3;(2)|x²-x|≥x.

Answer 1

解析:(1)|2^x-1|≥32^x-1≥3或2^x-1≤-32^x≥4或2^x≤-22^x≥4x≥2.?

解集为［2,+∞).?

(2)|x²-x|≥xx²-x≥x或x²-x≤-xx²≥2x或x²≤0x≥2或x≤0.?

解集为(-∞,0］∪［2,+∞).