Question

Lin is solving the inequality 15−x<14. She knows the solution to the equation 15−x=14 is x=1 How can Lin determine whether x>1 or x<1 Is the solution to the inequality?

Answer 1

Answer:

x > 1

Step-by-step explanation:

Given the inequality ; 15 - x < 14

Since the solution to the equation 15−x=14 is x=1 ;

Then we obtain the value of x for which the inequality expression is true :

If x > 1 ; take x = 2

15 - 2 < 14

13 < 14 (true)

If x < 1 ; take x = 0

15 - 0 < 14

15< 14 (not true)

Hence, solution is x > 1