\(\dfrac{7x-2}{3}-2x< 5-\dfrac{x-2}{4}\)

<=>\(\dfrac{4\left(7x-2\right)}{12}-\dfrac{24x}{12}< \dfrac{60}{12}-\dfrac{3\left(x-2\right)}{12}\)

<=>\(4\left(7x-2\right)-24x< 60-3\left(x-2\right)\)

<=>\(28x-8-24x< 60-3x+6\)

<=>\(28x+3x-24x< 60+8+6\)

<=>\(7x< 74\)

<=>x<\(\dfrac{74}{7}\)

Vậy...

1............to work by car everyday

2 ........Khanh does morning exercise, he won't keep fit

3......has a small garden

4 .....has to go to school on time

5 ......she doesn't go to bed early, she will be late for class

6 .......go to the movie tonight

\(\text{⩷!⨙┏⇴⨗⨜}\)

1 B

2 A

3 D

4 C

5 C

6 A

7 B

8 D

11 She asked me if I like English music

12 Two department stores have been built

13 The computer is being used at the moment

31 We should avoid playing computer games because it will hurt our eyes

32 Rescue workers sent water and food to victims yesterday

33 I like to travel to Europe but I don't have enough money

34 Our children will be taken care of by robots in 20 years' time

có thể tự viết ạ, dàn ý đầy đủ lắm bạn cần thêm quan hệ từ, từ nối, liên kết các câu cho chặt chẽ thế là xong:3

Bài 4: 

a: Xét tứ giác OBAC có 

\(\widehat{OBA}+\widehat{OCA}=180^0\)

Do đó: OBAC là tứ giác nội tiếp

hay O,B,A,C cùng thuộc 1 đường tròn

Bài 5:

\(\sqrt{x+2021}-y^3=\sqrt{y+2021}-x^3\\ \Leftrightarrow\left(\sqrt{x+2021}-\sqrt{y+2021}\right)+\left(x^3-y^3\right)=0\\ \Leftrightarrow\dfrac{x-y}{\sqrt{x+2021}+\sqrt{y+2021}}+\left(x-y\right)\left(x^2+xy+y^2\right)=0\\ \Leftrightarrow\left(x-y\right)\left(\dfrac{1}{\sqrt{x+2021}+\sqrt{y+2021}}+x^2+xy+y^2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-y=0\\\dfrac{1}{\sqrt{x+2021}+\sqrt{y+2021}}+x^2+xy+y^2=0\left(1\right)\end{matrix}\right.\)

Dễ thấy \(\left(1\right)>0\) với mọi x,y

Do đó \(x-y=0\) hay \(x=y\)

\(\Leftrightarrow M=x^2+2x^2-2x^2+2x+2022=x^2+2x+1+2021\\ \Leftrightarrow M=\left(x+1\right)^2+2021\ge2021\)

Dấu \("="\Leftrightarrow x=y=-1\)

Câu 1 : 

Cho quỳ tím ẩm vào lọ khí : 

+ Hóa đỏ nhạt : CO₂

Pt : \(CO_2+H_2O⇌H_2CO_3\)

+ Hóa đỏ , sau đó mất màu : Cl₂

Pt : \(Cl_2+H_2O⇌HCl+HClO\)

Không đổi màu : H₂

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