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2 years ago

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}

Mathematics

1 answer:

alexgriva [62]2 years ago

3 0

$\large\underline{\sf{Solution-}}$

Given inequation:

$\sf 2(4x-1)$

$\sf\longmapsto 8x-2$

$\sf\longmapsto 8x-2-4$

$\sf\longmapsto 8x-6$

$\sf\longmapsto 8x-6-8x$

$\sf\longmapsto -6$

$\sf\longmapsto 4x>-6$

$\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}$

$\sf\longmapsto x >-1\dfrac{1}{2}$

Therefore:

$\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.$

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What equals 12.5 in multiplication

kramer

2 x 6.25
is equal to 12.5 in multiplication

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3 years ago

Find three consecutive odd integers so that the sum of twice the first, the second

netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

2x+(x+2)+3(x+4)=152

2x + x + 2 + 3x + 12 = 152

6x+14=152

6x = 152 - 14

x=138/6

x=23

So, the numbers are 23, 25 and 27.

7 0

3 years ago

Let D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36} Determine which of the following statements are true and which are false. a)

morpeh [17]

Answer:

$\forall x\in D$ if x is odd then x> 0 is true statement.

$\forall x\in D$ if x is even then x≤0 is false statement.

$\forall x\in D$ If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

$\forall x\in D$ if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

Step-by-step explanation:

Consider the provided information.

D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36}

Part (A) $\forall x\in D$ if x is odd then x> 0

Here only even numbers are less than 0 that means the statement is true.

$\forall x\in D$ if x is odd then x> 0 is true statement.

Part (B) $\forall x\in D$ if x is less than 0 then x is even.

Here only even numbers are less than 0 that means the statement is true.

$\forall x\in D$ if x is odd then x> 0 is true statement.

Part (C) $\forall x\in D$ if x is even then x≤0

Here we can see that 16, 26, 32, 36 are even number and also greater than 0. Thus the statement is false.

$\forall x\in D$ if x is even then x≤0 is false statement.

Part (D) $\forall x\in D$ If the ones digit of x is 2, then the tens digit is 3 or 4.

There is only one number whose ones digit is 2. i.e. 32 also the tens digit of the number 32 is 3. Which makes the above statement true.

$\forall x\in D$ If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

Part (E) $\forall x\in D$ if the ones digit of x is 6, then the tens digit is 1 or 2.

Numbers having ones digit 6 are: 16, 26 and 36

Here, the tens digits are 1, 2 and 3 which is contradict to our statement. Hence the provided statement is false.

$\forall x\in D$ if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

8 0

3 years ago

Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1

Nadusha1986 [10]

Given: Shandra can do the complete work in 45 minutes.

So, Shandra's 1-minute work = 1 / 45 and

Kelly can do the same complete work in 1 hour and 15 minutes = 75 minutes.

So, Kelly's 1-minute work = 1 / 75

Now, we shall calculate Shandra's and Kelly's 1-minute work

By both 1 minute work = (1/45) + (1 / 75) = 8 / 225

∵ 8 /225 Parts can be completed by both = in 1 minute

∴ Complete work (1) can be completed by both = 225 / 8 minutes

or, = in 28 minutes and 7.5 second

Hence, the assumption taken by both was incorrect.

The best described time will be 28 minutes and 8 seconds.

5 0

3 years ago

Read 2 more answers

What is the prime factor of 350

scZoUnD [109]

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

8 0

2 years ago

Read 2 more answers

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}​

2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}