Need help with this Algebra 1 problem

Question

Enter the correct answer in the box. Allen has been asked to replicate a scientific diagram in his notebook . The teacher has told him that variations in lengths of up to 2 centimeters are acceptable. If a test tube is 7 centimeters long in the original diagram, write an quation to help Allen find the maximum and minimum acceptable lengths of the test tube in his diagram. (Let x represent the length of the test tubein the new diagarm.)

Answer 1

You can set up limitation problems like this using absolute value bars. Place the target measurement inside the bars with the variable, and make the whole thing less than or equal to the tolerance. For example, if Y needs to be within 2 inches of 10 (so that 8<=y<=12), you can write |Y-10| <= 2. Solving the absolute value equation gives you the limits.

Answer 2

Max is 9, min is 5

7+2 = 9

7-2 = 5