Question

Error Analysis A math test asks the students to solve the inequality X-2<16, and then graph the

solutions. Mason said the solutions are x < 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?
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Answer 1

x < 18

Explanation:

x - 2 < 16

We eliminate 2 to isolate the variable, x by adding 2 to both sides. -2 + 2 = 0.

x < 18

We can test this because 17 is less than 18. Pretend x = 17

17 < 18✅

Mason subtracted 2, instead of adding 2.

In order to graph this, put an open circle at 18, and the arrow should point to the left.

Hope this helps ;D

Answer 2

The solution is X<18

Explanation:

When Mason was solving the inequality he subtracted two from the equation instead of adding two to solve for x.

X-2<16

X<18