Math

QuestionDetermine the type of interval represented by the inequality 1x<91 \leq x < 9.

Studdy Solution

STEP 1

Assumptions1. The inequality given is 1x<91 \leq x<9

STEP 2

The given inequality represents an interval on the number line. In this case, the interval includes all the real numbers 'x' that are greater than or equal to1 and less than9.

STEP 3

We can represent this interval in interval notation. Interval notation is a way of writing subsets of the real number line. A closed interval includes its endpoints, and is denoted with square brackets. An open interval does not include its endpoints, and is denoted with parentheses.

STEP 4

Since 'x' is greater than or equal to1, we use a square bracket for1. Since 'x' is less than9, we use a parenthesis for9.
So, the interval notation for the given inequality is[1,9)[1,9)The given inequality represents a closed interval at1 and an open interval at9.

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