(4x-11)^6=25^3

(4x-11)^6=5^6

4x-11=5

4x=5+11

4x=16

x=16:4

x=4

HT

(x - 1)(x - 3) < 0

⇒ x - 1 > 0 và x - 3 < 0

Hoặc x - 1 < 0 và x - 3 > 0

TH1: x - 1 > 0 và x - 3 < 0

*) x - 1 > 0

x > 0 + 1

x > 1 (1)

*) x - 3 < 0

x < 0 + 3

x < 3 (2)

Từ (1) và (2) ⇒ 1 < x < 3

TH2: x - 1 < 0 và x - 3 > 0

*) x - 1 < 0

x < 1 (3)

*) x - 3 > 0

x > 3 (4)

Từ (3) và (4) ⇒ không tìm được x thỏa mãn trường hợp 2

Vậy 1 < x < 3 thì (x - 1)(x - 3) < 0

(x-1)(x-3)<0

=> x-1 > 0 và x - 3 < 0 ( Vì : x-1 > x-3 với mọi x )

=> x>1 và x < 3

=> 1<x<3

Lập bảng xét dấu ta có: 

Theo bảng trên ta có: 1 < \(x\) < 3

Give the correct forms of the verbs in the bracket

1. She spent 3 hours.helping.. her brother with homework (help)

2. It will take me 30 minutes..to water. the vegetables (water)

3. We are fond of..singing. English songs. (sing)

4. She would like.to buy.. that shirt (buy)

5. I remember..being taken... (take) to that place once

6. These shirts need..ironing..(iron) at the moment.

7. If you feel like (stay)..staying.. with us, just semd us a fax

8. Wendy suggested..going... to the pub for lunch (go)

\(\dfrac{1}{5}\times x-\dfrac{2}{3}=\dfrac{1}{10}\times x+\dfrac{5}{6}\)

\(\dfrac{1}{5}x-\dfrac{2}{3}-\dfrac{1}{10}x-\dfrac{5}{6}=0\)

\(\dfrac{1}{5}x-\dfrac{1}{10}x-\dfrac{2}{3}-\dfrac{5}{6}=0\)

\(\dfrac{1}{10}x-\dfrac{3}{2}=0\)

\(\dfrac{1}{10}x=\dfrac{3}{2}\)

\(x=15\)

           \(\dfrac{1}{5}\).x - \(\dfrac{2}{3}\) = \(\dfrac{1}{10}\).x + \(\dfrac{5}{6}\)

⇒   \(\dfrac{1}{5}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{2}{3}\)

⇒ \(\dfrac{2}{10}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{4}{6}\)

⇒            \(\dfrac{1}{10}\).x = \(\dfrac{9}{6}\)

⇒                  x = \(\dfrac{9}{6}\) : \(\dfrac{1}{10}\)

⇒                  x = \(\dfrac{9}{6}\) . 10

⇒                  x = \(\dfrac{90}{6}\)

⇒                  x = 15

       Vậy x = 15

1 Yesterday the plane took off earlier than I expected

2 My mother looks after us more carefully than my father

3 They cut the big cake into smaller parts than I thought

4 My sister even tells me off more often than my mother does

5 Who saw you off yesterday?

6 It is cold today so I put on more warm clothes than usual

7 Yesterday my mother picked my up later than usual

8 You are the pretties girl I have ever known

9 Unless you listen attentively to your teacher, you won't catch up with your friends

10 By far, "The Little Prince" has been my favorite book

39 be on time for your interview

40 tall is she

41 What is she like?

42 have you been in this city?

43 is the price of those books

44 How did she greet friends?

45 What did she walk to the station for