3 years ago

Find all real numbers x such that 3x - 4 >5 and 8x - 19<

Mathematics

1 answer:

Kazeer [188]3 years ago

3 0

Answer:

x < 2 ∪ x > 3

Step-by-step explanation:

Rewrite 3x - 4 > 5 as 3x > 9. This tells us that x must be greater than 3.

Rewrite 8x - 10 < 6. Thus, 8x < 16 and x < 2.

The "solution set" is thus all real numbers to the left of 2 OR to the right of 3.

You might be interested in

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?

Romashka [77]

<h2>Answer:</h2>

$d. \ \boxed{270}$

<h2>Step-by-step explanation:</h2>

In this exercise we need to make a division and evaluate the new function at $x=5$ . so we have two functions, namely:

$f(x)=7+4x \ and \\ \\ g(x)=\frac{1}{2x}$

Therefore:

$f(5)=7+4(5)=27 \\ \\ g(5)=\frac{1}{2\times 5}=\frac{1}{10}$

So:

$(f/g)(5)=\frac{27}{\frac{1}{10}}=270$

3 0

4 years ago

Read 2 more answers

Bob has 5.5 cups of flour. He uses 3.75 cups of flour. How much flour does bob have left?

LiRa [457]

If you would like to know how much flour does Bob have left, you can calculate this using the following steps:

5.5 cups of flour - 3.75 cups of flour = 5.5 - 3.75 = 1.75 cups of flour

Result: Bob has 1.75 cups of flour left.

8 0

3 years ago

If a vehicle originally worth $27000 decreases in value by 9% each year, after 4 years, it will only be worth $_____.

Novosadov [1.4K]

Answer:

$18515.24

Step-by-step explanation:

27000 x .91

24570

24570 x .91

22358.7

22358.7 x .91

20346.417

20346.417 x .91

18515.23947 =

$18515.24

8 0

2 years ago

The force made by a magnet is special because it can make other magnets and some metal objects _______ without ever touching the

Blizzard [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find f(-7) if f(x) = 2x+8.<br> A.-6<br> B.2<br> C.3 <br> D.22

Lynna [10]

Answer:

A. -6

Step-by-step explanation:

f(-7)=2(-7)+8

=(-14)+8

=-6

7 0

3 years ago