3 years ago

Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

Answer:

Step-by-step explanation:

|3x-9|≤15

-15≤3x-9≤15

-15+9≤3x≤15+9

-6≤3x≤24

-2≤x≤8

x∈[-2,8]

|2x-3|≥5

2x-3≤-5

2x≤-2

x≤-1

and

2x-3≥5

2x≥8

x≥4

solution is x∈[-2,-1]∪[4,8]

You might be interested in

1/3 of the viewers opening rated the movie as goo and very good. 35 people rated it good and 20 people rated it very good. what

mylen [45]

Since a total of 55 people rated it good/very good, we know that 1/3 of the viewers are 55 people. So we can set the equation: 1/3x=55

Now, just multiply both sides by 3 (or divide by 1/3, same thing) and get your answer!

4 0

4 years ago

A department store is having a 15% sale on all winter coasts . You purchase a winter coat for 275 . The department store is loca

snow_lady [41]

I don't know really ask someone smarter than me

3 0

3 years ago

Brendon, asha and julie share some money in the ratios 3:2:6 the total amount of money that asha and julie recieve is £36 work o

svlad2 [7]

Answer:

£13.5.

Step-by-step explanation:

Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.

The total amount of money that Asha and Julie recieve is £36

i.e.

2x+6x = 36

8x = 36

x = (36/8)

Amount recieved by Brendon,

$B=3\times \dfrac{36}{8}\\\\=\$13.5$

So, the amount of money that brendon receives is £13.5.

3 0

3 years ago

What is 7.8× 10^5 hours in days?

Colt1911 [192]

32500 because you divide by 24.

8 0

3 years ago

Which of these shapes contain parallel lines

bonufazy [111]

Quadrilateras

A C

Parallel lines

A B

5 0

4 years ago