Given:
You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds.
To find:
The absolute value inequality that can be used to describe the tolerance of the weight of the turkey
Solution:
Let x be the actual weight of the turkey.
It will accepted, if its weight is between 1.54 and 1.46 pounds.
[tex]1.46\leq x\leq 1.54[/tex]
Subtract 1.5 from each side.
[tex]1.46-1.5\leq x-1.5\leq 1.54-1.5[/tex]
[tex]-0.04\leq x-1.5\leq 0.04[/tex]
[tex]|x-1.5|\leq 0.04[/tex]
Therefore, the required absolute inequality is [tex]|x-1.5|\leq 0.04[/tex].
