My favourite sport is karate, which is one of the Oriental martial arts. Karate is a popular sport in the world because it improves self-confidence and self-discipline, memory and attention. Besides, karate teaches us self-defence, respect, self-control and patience.
I started practising karate when I was eight. Since that time I have been training twice a week in our local sports centre. The lessons are physically hard but I enjoy them. Our sensei teaches us patiently and inspires us to become better people. I have already participated in a few competitions.
I am glad that I chose karate because it gives me so much: I have become more patient and physically stronger.
Объяснение:
|x -1| + |x +3| ≤ 4
Решим это неравенство методом интервалов.
Найдем нули подмодульных выражений:
х - 1 =0 → х = 1
х + 3 = 0 → х = - 3
Эти значения разбивают числовую ось на три интервала:
х ∈ (-∞; - 3] ; (-3; 1]; (1; + ∞)
Решим заданное неравенство на каждом из этих промежутков.
1) 1) x∈ (-∞; - 3], при этом неравенство примет вид:
- (х - 1) - (х + 3) ≤ 4
-х + 1 - х - 3 ≤ 4
-2х ≤ 6
х ≥ - 3
Пересекая найденное решение x∈ [- 3; +∞) c рассматриваемым интервалом x∈ (-∞; - 3] , получаем решение x = - 3
2) х ∈ (-3; 1]
- (х - 1) + х + 3 ≤ 4
0*х ≤ 4 → х - любое число. Учитывая интервал, х х ∈ (-3; 1]
3) х ∈ (1; + ∞)
х - 1 + х + 3 ≤ 4
2х ≤ 2
х ≤ 1 → х ∈ (- ∞; 1]
Для получения окончательного ответа объединим полученные решения:
x ∈ [- 3] ∪ (-3; 1] ∪ (- ∞; 1]
ответ: х ∈ [-3; 1]
Karate is my favorite sport
My favourite sport is karate, which is one of the Oriental martial arts. Karate is a popular sport in the world because it improves self-confidence and self-discipline, memory and attention. Besides, karate teaches us self-defence, respect, self-control and patience.
I started practising karate when I was eight. Since that time I have been training twice a week in our local sports centre. The lessons are physically hard but I enjoy them. Our sensei teaches us patiently and inspires us to become better people. I have already participated in a few competitions.
I am glad that I chose karate because it gives me so much: I have become more patient and physically stronger.
Объяснение: