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?

a) Subtract 15 from both sides of the inequality to find the solution.
b) Add 15 to both sides of the inequality to find the solution.
c) Multiply both sides of the inequality by -1 to find the solution.
d) Divide both sides of the inequality by -1 to find the solution.

Answer 1

To determine whether x > 1 or x < 1 is the solution to the inequality 15 - x < 14, Lin can subtract 15 from both sides of the inequality. This will give her -x < -1. Since we are dividing both sides of the inequality by a negative number (-1), the inequality sign will flip. Therefore, the solution to the inequality is x > 1.

Step-by-step explanation:

To determine whether x > 1 or x < 1 is the solution to the inequality 15 - x < 14, Lin can subtract 15 from both sides of the inequality. This will give her -x < -1. Since we are dividing both sides of the inequality by a negative number (-1), the inequality sign will flip. Therefore, the solution to the inequality is x > 1. So, the answer is option a) Subtract 15 from both sides of the inequality to find the solution.