Question

You order 1.5 pounds of turkey at a deli. You will accept the turkey if its weight is between 1.54 lb and 1.46 lb. What absolute value inequality describes the tolerance of the weight of the turkey?
Please help I am a bit confused, thank you

Answer 1

draw a number line and plot 1.5 on it



preferably in the center

Answer 2

then add on 1.54 and 1.46

Answer 3

how far is 1.54 from 1.5 ?

Answer 4

.04

Answer 5

how about from 1.46 to 1.5 ?

Answer 6

Would it be |x-1.5|>=0.04

Answer 7

very close

Answer 8

Wait |x-1.5|=<0.04???

Answer 9

the general form is

|x - T| <= E

T = target value
E = error

you want the absolute value of the difference, |x-T|, to be as small as possible. Ideally 0

The worst you're able to live with is E = 0.04

so yeah it should be |x-1.5| <= 0.04

Answer 10

Thank you saved my life :)

Answer 11

you're welcome