All categories

2 years ago

Which of the following is the solution to | x | +5< 1?

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

C. No Solution

<u>Explanation</u>

<u></u>

The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

$|x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4$

Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.

You might be interested in

Name one advantage of the metric system over the customary system.

tatyana61 [14]

It is based on powers of 10, making it logical.

4 0

3 years ago

Select all of the categories of numbers which contain the number negative 3

Gennadij [26K]

Answer:

integer

rational number

irrational number

Step-by-step explanation:

*integers are numbers that can be written without fraction components. either negative or positive.....

4 0

1 year ago

: Naveen has a bag that contains 6 blue marbles, 3 green marbles, and 1 red marble. He will draw one marble randomly from the ba

loris [4]

Answer:

If Naveen wants to make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add ***8 red marbles to the bag***

Step-by-step explanation:

The bag that contains 6 blue marbles, 3 green marbles, and 1 red marble.

Naveen wants to make sure that drawing a red marble is equally likely as drawing a different color marble, then he could add what?

Current total number of marbles = 10

Probability of drawing a red marble = (1/10)

Probability of drawing marble of other colour = (9/10)

And we want the the probability of drawing a red marble and one of the other marble to be the same.

This means we have to add a number of red marbles.

Let the number of red marbles to be added be n.

After adding n red marbles, the probability of drawing a red marble = (n+1)/(10+n)

Probability of drawing one of the other marbles = 9/(10+n)

And the probabilities are equal

(n+1)/(10+n) = 9/(10+n)

n+1 = 9

n = 9 - 1 = 8

This makes the number of red marbles 9 and total number of marbles 18.

The probability of drawing a red marble becomes (9/18) = 0.5

Probability of drawing a marble of other colour = (9/18) = 0.5 also.

4 0

3 years ago

What is the definition of Renaming in math✏️ please help

Misha Larkins [42]

In math remaining means left over.

Hope that helped:)

4 0

3 years ago

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks

Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ( $C_{o}$ ), measured in monetary units, and week earning ( $R$ ), measured in monetary units, multiplied by a number of weeks ( $n$ ), dimensionless: