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Write the interval-25 < x < 30
using set notation and interval
notation.

1 Answer

5 votes

Answer:

Set notation: -25 < x < 30

Interval notation: (-25, 30)

Explanation:

In set notation,

"x ∈ ℝ" means "x is an element of all real numbers"

you then write the restrictions after that, which would be "-25 < x < 30"

this gives you -25 < x < 30 ,

"x is an element of all real numbers, such that x is larger than -25 and less than 30"

In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.

If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,

giving you {-25, 30}.

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