Uploaded by inkovvlad2

Неравенства

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𝑥2
𝑙𝑜𝑔(5−𝑥) 𝑥
≤ (5𝑥 − 4) ⋅ 𝑙𝑜𝑔𝑥 (5 − 𝑥)
(4𝑥−|𝑥−6|)(𝑙𝑜𝑔1⁄ (𝑥+4)+1)
2
3
≥0
2𝑥 −2|𝑥|
1
1
2𝑥−1
4
+ 4 log 22 ⁡2𝑥 > (log 2 𝑥 − 2𝑥 ) ⋅ log 2 𝑥
𝑥
≥0
(𝑥−2)3 +(𝑥−3)3 −1
1
1
1
3
+ (𝑥+1)(𝑥+2) + (𝑥+2)(𝑥+3) ≤ 4
𝑥(𝑥+1)
|𝑥 2 − 3𝑥 + 1| ≥ √4𝑥 4 − 4𝑥 2 + 1
|𝑥 2 +2𝑥−3|−|𝑥 2 +3𝑥+5|
2𝑥+1
≥0
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