How to write Q={1,2,3,5} in set builder form?

Mathematics

1 answer:

blagie [28]2 years ago

8 0

Answer:

{x:x is a natural number less than 6}

Step-by-step explanation:

Set builder is a type of set where we have to represent any value inside a set

by using the variable x, v, b, a, c etc.

Eg A={1,2,3,4}

For eg {a: a is a natural number less than 5}

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La respuesta del ejercicio numero 7

andriy [413]

In a math book??? Need more explanation

8 0

3 years ago

Larry buys a tent that is on sale for 25% off the original price. The original price is $80 more than the sale price. What is th

myrzilka [38]

Answer:

The original price of the tent = $320

Step-by-step explanation:

Let the original price be =$ $x$

Discount offered = $25$ % of the orignal price = $\frac{25}{100}\times x=0.25\times x =\$ 0.25x$

Original price is $80 more than sale price

Discount = Original price - Sale price = $80

So, we have

$0.25x=80$

We need to solve for $x$ to find original price

Dividing both sides by $0.25$

$\frac{0.25}{0.25}x=\frac{80}{0.25}\\x=\$320$

∴ The original price of the tent = $320

3 0

3 years ago

What is the solution of x=2+ square root x-2?

alex41 [277]

So I'm going to assume that this question is asking for non extraneous solutions, or solutions that are found in the equation and are valid solutions when plugged back into the equation. So firstly, subtract 2 on both sides of the equation:

$x-2=\sqrt{x-2}$

Next, square both sides:

$(x-2)^2=x-2\\(x-2)(x-2)=x-2\\x^2-4x+4=x-2$

Next, subtract x and add 2 to both sides of the equation:

$x^2-5x+6=0$

Now we are going to be factoring by grouping to find the solution(s). Firstly, what two terms have a product of 6x^2 and a sum of -5x? That would be -3x and -2x. Replace -5x with -2x - 3x:

$x^2-2x-3x+6=0$