Math  /  Algebra

QuestionGraph the given set and write the corresponding interval notation. {x5<x}\{x \mid 5<x\}
Part: 0 / 2 \square
Part 1 of 2
Graph the set.

Studdy Solution

STEP 1

1. We are given a set of numbers defined by the inequality {x5<x} \{x \mid 5 < x\} .
2. The task is to graph this set on a number line.

STEP 2

1. Understand the inequality.
2. Draw the number line.
3. Represent the inequality on the number line.

STEP 3

Understand the inequality {x5<x} \{x \mid 5 < x\} .
This inequality means that we are considering all numbers x x that are greater than 5.

STEP 4

Draw the number line.
Create a horizontal line and mark a point on it for the number 5.

STEP 5

Represent the inequality on the number line.
Since the inequality is 5<x 5 < x , this means that the set includes all numbers greater than 5, but not 5 itself. - Use an open circle at 5 to indicate that 5 is not included in the set. - Shade the number line to the right of 5 to show all numbers greater than 5 are included.

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