Question

Dylan used the statement "x minus 3 is greater than or equal to 15" to find the values of x. Below is Dylan's problem. Is Dylan correct? Explain your reasoning. X-3≥15. X-3-3≥15-3. X≥12

A) Dylan is correct.
B) Dylan is incorrect.

Answer 1

Dylan is incorrect because he subtracted 3 instead of adding it when solving the inequality. The correct solution is x ≥ 18 after adding 3 to both sides of the inequality.

Step-by-step explanation:

Dylan's approach to solving the inequality "x minus 3 is greater than or equal to 15" is incorrect. The proper way to solve the inequality x - 3 ≥ 15 is to add 3 to both sides of the inequality, not subtract, in order to isolate x. Here's the correct step-by-step process:

1. Add 3 to both sides of the inequality: x - 3 + 3 ≥ 15 + 3.
2. Simplify both sides: x ≥ 18.
3. Now we have the solution to the inequality: all values of x that are 18 or greater satisfy the inequality.

Dylan mistakenly subtracted 3 instead of adding it, which led to the incorrect solution x ≥ 12.