Question

error analysis a student, named mason, asks the students to solve the inequality ( x - 2 geq 16 ), and then graph the solutions. mason said the solutions are ( x geq 14 ) and graphed the solutions as shown below. solve the inequality and graph the solutions. what error might mason have made? what are the solutions?

Explanation:

Step1: Solve the inequality

To isolate $x$, add 2 to both sides:
$x - 2 + 2 \geq 16 + 2$

Step2: Simplify to find solution

$x \geq 18$

Step3: Identify Mason's error

Mason subtracted 2 instead of adding 2 to 16, getting $x \geq 14$ instead of $x \geq 18$. He also graphed the incorrect solution set (shading values less than/equal to 14 instead of values greater than/equal to 18).

Answer:

Mason's error: He subtracted 2 from 16 instead of adding 2, leading to the wrong solution $x \geq 14$ instead of the correct solution $x \geq 18$, and his graph matches this incorrect solution.
The correct solutions are $x \geq 18$.