Question

Which situation is best modeled by the inequality v ≥ 18?

You must be older than 18 years old to vote.


You must be at least 18 years old to vote.


You can vote before you turn 18 years old.


You cannot vote when you are 18 years old.

Answer 1

You must be at least 18 years old to vote.

Answer 2

You must be at least
`18` years old to vote

Explanation:

we have

`v\geq18`

The solution of this inequality is the interval-----> [18, ∞)

All real numbers greater than or equal
`18`

Analyze each statement

case A) You must be older than
`18` years old to vote

In this case the inequality that represent the statement is

`v>18` -----> is not the solution

case B) You must be at least
`18` years old to vote

In this case the inequality that represent the statement is

`v\geq18` -----> is the solution

case C) You can vote before you turn
`18` years old

In this case the inequality that represent the statement is

`v<18` -----> is not the solution

case D) You cannot vote when you are
`18` years old

In this case you cannot vote when

`v=18`

so

you can vote for

`v<18` or
`v>18` -------> is not the solution