Interval Notation Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Convert the interval [0,4)[0, 4) to inequality notation.

Solution

  1. 1
    Bracket at 0 means xโ‰ฅ0x \geq 0; parenthesis at 4 means x<4x < 4.
  2. 2
    Combined: 0โ‰คx<40 \leq x < 4.

Answer

0โ‰คx<40 \leq x < 4
Interval notation and inequality notation are two ways to express the same set. Brackets correspond to โ‰ค/โ‰ฅ\leq / \geq; parentheses correspond to </>< / >.

About Interval Notation

A shorthand for writing all real numbers in a range, using parentheses for excluded endpoints and square brackets for included endpoints.

Learn more about Interval Notation โ†’

More Interval Notation Examples