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cricket20 [7]
3 years ago
15

How can this same solution be written using set builder notation? {x | x > }?

Mathematics
1 answer:
skad [1K]3 years ago
5 0

<u>Corrected Question</u>

The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }

Answer:

\{x | x >3 \}

Step-by-step explanation:

Given an inequality whose solution is represented by the number line attached below.

We observe the following from the number line

There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)

The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:

The solution in the number line can be written using set-builder notation as:

\{x | x >3 \}

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Answer:

It will take 19.2142857 hours

Step-by-step explanation:

1,345/70

Round to what you're required.

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3 years ago
7. It is best to save _____ months of fixed expenses for an emergency fund. (1 point)
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3 years ago
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Which of the following statements is false?
kramer

Option D

The sum of two irrational numbers is always rational is false statement

<em><u>Solution:</u></em>

<h3><u>The sum of two rational numbers is always rational</u></h3>

"The sum of two rational numbers is rational."

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

For example:

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

rational number + rational number = rational number

Hence this statement is true

<h3><u>The product of a non zero rational number and an irrational number is always irrational</u></h3>

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational.

Any other situation, however, of a rational times an irrational will be irrational.

A better statement would be: "The product of a non-zero rational number and an irrational number is irrational."

So this statement is correct

<h3><u>The product of two rational numbers is always rational</u></h3>

The product of two rational numbers is always rational.

A number is said to be a rational number if it is of the form p/q,where p and q are integers and q ≠ 0

Any integer is a rational number because it can be written in p/q form.

Hence it is clear that product of two rational numbers is always rational.

So this statement is correct

<h3><u>The sum of two irrational numbers is always rational</u></h3>

"The sum of two irrational numbers is SOMETIMES irrational."

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

Thus this statement is false

5 0
3 years ago
Stan ran 4 7/10 miles, which was 1 3/10 fewer miles than Matt ran. Four students wrote and solved equations to find m, the numbe
nydimaria [60]

Answer: <u><em>Miles ran by Matt = 6 miles</em></u>

Step-by-step explanation: Miles ran by Stan = 4 7/10

i.e. 1 3/10 miles less than Matt.

∴ Miles ran by Matt = 4 7/10 + 1 3/10 = 60/10 = 6miles

∴<u><em> Miles ran by Matt = 6 miles</em></u>

<u><em /></u>

6 0
2 years ago
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Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel?
Papessa [141]

Answer:

185 miles

Step-by-step explanation:

We are given that

Both Kyle and Tyler traveled total  distance to the beach=425 miles

Kyle traveled distance to the beach=240 miles.

We have to find the distance traveled by Tyler.

To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.

Let x be the distance traveled by Tyler.

According to question

x+240=425

x=425-240=185 miles

Hence, Tyler travels distance to the beach=185 miles

4 0
3 years ago
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