Question

Срочно!!!!!!!!!!!Відомо, що 2<a <10, 4<c <25. Оцініть значення виразу​

Answer 1

$\displaystyle 2<a<10; 4<c<25$

1)

$\displaystyle a*c\\\\2*4<a*c<10*25\\\\8<a*c<250$

2)

$\displaystyle \frac{1}{25}< \frac{1}{c}<\frac{1}{4}$

3)

$\displaystyle 2*\frac{1}{25}<a*\frac{1}{c}<10*\frac{1}{4}\\\\\frac{2}{25}<\frac{a}{c}<\frac{5}{2}$

4)

$\displaystyle 8+\frac{2}{25}<ac+\frac{a}{c}<250+\frac{5}{2}\\\\8\frac{2}{25}<ac+\frac{a}{c}<252\frac{1}{2}$

5)

$\displaystyle \frac{1}{10}<\frac{1}{a}<\frac{1}{2}$

6)

$\displaystyle 4*\frac{1}{10}<c*\frac{1}{a}<25*\frac{1}{2} \\\\0.4<\frac{c}{a}< 12.5$

7)

$\displaystyle 4*(2+\frac{1}{10})<c(a+\frac{1}{a})<25*(10+\frac{1}{2})\\\\8\frac{2}{5}<c(a+\frac{1}{a})<262\frac{1}{2}$

8)

$\displaystyle 2(\frac{1}{25}+(-25))<a(\frac{1}{c}-c)<10(\frac{1}{4}+(-4))\\\\-49.92<a(\frac{1}{c}-c)< -37.5$