Question

Twenty times y is at most 100 in interval notation

Answer 1

Twenty times y being at most 100 can be written as the inequality 20y <= 100, which simplifies to y <= 5. The interval notation for this inequality is [-∞, 5].

Step-by-step explanation:

The equation 'Twenty times y is at most 100' can be written mathematically as 20y ≤ 100. To solve for 'y', we can divide both sides of the inequality by 20, which gives us y ≤ 5. This inequality describes all values of 'y' that are less than or equal to 5. When expressing this in interval notation, it is written as [-∞, 5]. This means that 'y' can be any number up to and including 5 but no greater.

Answer 2

`y\in (-\infty ,5]`

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is
`\le`

ATQ,

`20* y\le 100`

i.e.

`20y\le 100\\\\y\le 5`

We can also write it as :

`y\in (-\infty ,5]`

Hence, the required interval notation is
`y\in (-\infty ,5]`.