1. a)5 < m < 15; 5*1/5 < 1/5 m < 15*1/5; 1 < 1/5 < 3
b) 5 < -2m < 15; 5*(-2) < -2m < 15*(-2); -10 < -2m < -30; -30 < -2m < -10
c) 5 < m-6 < 15; -5+6 < m-6 < -15+6 ; 1 < m-6 < -9; -9< m-6 < 1
2. a) 2.6 <√7 <2.7; 2.6*2 < 2√7 < 2.7*2 ; 5.2 < √7 < 5.4
b)- 2.6 <-√7 < -2.7; -2,7 < -√7 < -2,6
c) 2.6 <√7 <2.7; 2+2.6 < 2+√7 < 2+2.7; 4.6 < √7 < 4.7
d)2.6 <√7 <2.7; 3-2.6 < 3-√7 <3-2.7; 0.4 <;3-√7 <0.3; 0.3 < 3-√7 < 0.4
1. −(a+b)−(c−d)−(e−f)=−a-b−c+d−e+f
2. (8ab+3b)−(6ab−3b)+4a=8ab+3b−6ab+3b+4a=2ab+6b+4а
если a=6 и b=3. 2*6*3+6*3+4*6=36+18+24=78
3. 0,2x²+0,04y² +0,16x²−0,07y²=0,36x²-0,03y²
(0,2x²+0,04y²) -(0,16x²−0,07y²)=0,2x²+0,04y²-0,16x²+0,07y=0.11у²+0.04х²
4. (9a−13b+29c)−(−24a+29b−24c) =9a−13b+29c+24a-29b+24c=33а-42b+53с
5. (637d−214d²)+(114d²−137d)= 637d−214d²+114d²−137d=500d-100d²
6. 16−(7h+5)+4= 16−7h-5+4=15−7h
7. (x²−4x+3)−(3x−2x²+4)=x²−4x+3−3x+2x²-4=3х²-7х-1; если x=2.
3х²-7х-1=3*2²-7*2-1=12-14-1=-3
8. x³+3x²−x+4x³+2x²−x +5x²−3x³+4x =2x³+10x²+2х
9. это 42, т.к. 42-24=18
b₁=3, b₉=b₁*q⁸=3*q⁸=19683
q⁸=6561, q⁸=3⁸,q=3
b₂=b₁*q=3*3=9, b₃=b₁*q²=3*9=27,...b₅=b₁*q⁴=3*3⁴=243