Question

Пожалуйста срочно решите​

Answer 1

1) 10х^2- 20x≥0

10x*(x-2)≥0

x*(x-2)≥0

$\left \{ {{x=>0} \atop {x-2=>0}} \right.$

$\left \{ {{x=<0} \atop {x-2=<0}} \right.$

$\left \{ {{x=>0} \atop {x=>2}} \right.$

$\left \{ {{x=<0} \atop {x=<2}} \right.$

x∈[2, +∞)

X∈( -∞,0]

2) -4t^2+16<0

-4t^2<-16

t^2>4

|t|>2

t>2,t≥0

-t>2, t<0

t∈(2,+∞)

t≤-2, t<0

t∈(2,+∞)

t∈(-∞,-2)

3) 9x^2-49<0

9x^2<49

x^2<49/9

|x|<7/3

x<7/3 , x≥0

-x<7/3, x<0

x∈[0, 7/3]

x>-7/3, x<0

x∈[0,7/3)

X∈(-7/3, 0)

X∈(-7/3, 7/3)

4) 100-4X^2>0

-4X^2-100

X^2<25

|X|<5

X<5, X≥0

-X<5, X<0

X∈[0,5)

x>-5, x<0

x∈[0,5)

X∈(-5,0)

X∈(-5,5)

5) X^2 - 12X+36<0

(X-6)^2<0

X∈∅

6) t^2+10t+26≥0

t^2+10t+26=0

t∉R