How to Graph the Inequality 'A Number is Greater Than 12' on a Number Line

Question

Graph the inequality 'A number is greater than 12' on the provided number line.

Accepted Answer

An open circle at 12 on the number line, with an arrow pointing to the right (toward larger numbers).

Answer

Step 1: Translate the verbal statement into a mathematical inequality. Let the unknown number be $ x $, so the inequality is $ x > 12 $. Step 2: Locate the number 12 on the given number line. Step 3: Since the inequality is $ > $ (greater than, not greater than or equal to), draw an open circle at 12 to show that 12 itself is not included in the solution set. Step 4: Draw an arrow starting from the open circle and pointing to the right along the number line, as this direction represents all numbers larger than 12, which are the solutions to the inequality.