Question

Line is solving the inequality 15 -x 14. She knows the solution to the equation 15 - x = 14 is r = 1

How can Line determine whether 1 or l is the solution to the inequality?

Answer 1

Line needs to substitute x with 1 in the inequality 15 - x > 14 to determine if it's a solution. Since 15 - 1 equals 14, and 14 is not greater than 14, 1 is not the solution to the inequality.

Step-by-step explanation:

The student's question revolves around solving an inequality, specifically how Line can determine whether 1 is the solution to the inequality 15 - x > 14, given that the solution to the equation 15 - x = 14 is x = 1. To determine if 1 is the solution, Line would substitute x with 1 in the inequality 15 - x > 14:

15 - 1 > 14
14 > 14

This statement is not true because 14 is not greater than 14; it is equal to it. Therefore, 1 is not the solution to the inequality. The solution set would contain values of x less than 1, because substituting any number less than 1 into the inequality would result in a number greater than 14.