№ 6.136 в
№ 6.137 а,г
в
2(3x-5)(x-1)-3(1-(2x+1)(3-x)+(4-x)/2)<13
2(3x²-3x-5x+5)-3(1-(6x-2x²+3-x)+(4-x)/2)<13
6x²-6x-10x+10-3(1-6x+2x²-3+x+(4-x)/2)<13
6x²-16x+10-3+18x-6x²+9-3x+(-12+3x)/2<13
-x+16+(-12+3x)/2<13 |*2
-2x+32-12+3x<26
x<6
а
(3-√10)(2x-7)<0 |:(3-√10)
2x-7>0
2x>7
x>7/2
г
(1-√2)(4-5x)≤√2/(2+√2) |:(1-√2)
4-5x≥√2/(2+√2)(1-√2)
4-5x≥√2/(2-2√2+√2-2)
4-5x≥√2/-√2
4-5x≥-1
-5x≥-5
x≤1
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Answers & Comments
в
2(3x-5)(x-1)-3(1-(2x+1)(3-x)+(4-x)/2)<13
2(3x²-3x-5x+5)-3(1-(6x-2x²+3-x)+(4-x)/2)<13
6x²-6x-10x+10-3(1-6x+2x²-3+x+(4-x)/2)<13
6x²-16x+10-3+18x-6x²+9-3x+(-12+3x)/2<13
-x+16+(-12+3x)/2<13 |*2
-2x+32-12+3x<26
x<6
а
(3-√10)(2x-7)<0 |:(3-√10)
2x-7>0
2x>7
x>7/2
г
(1-√2)(4-5x)≤√2/(2+√2) |:(1-√2)
4-5x≥√2/(2+√2)(1-√2)
4-5x≥√2/(2-2√2+√2-2)
4-5x≥√2/-√2
4-5x≥-1
-5x≥-5
x≤1