Question

2. A candy company places an average of 20 truffles in a one-pound box. The number of truffles per box never varies from the average by more than 2.

Solve the inequality | x - 20 | ≤ 2 . Show all work leading to your answer

Answer 1

@ganeshie8

Answer 2

@imqwerty

Answer 3

Do you know what the modulus signs | ...| mean?

Answer 4

absolute value

Answer 5

Yep good

Answer 6

So if i said what values of x has in
|x|=1 what are your solutions

Answer 7

If x ≥ 20, this is equivalent to
x - 20 ≤ 2
x ≤ 22

If x < 20, the inequality is equivalent to
20 - x ≤ 2
18 ≤ x

18 ≤ x ≤ 22

Answer 8

would that be the way i do it?

Answer 9

Lets not worry about that. Worry about what i just asked you to do

Answer 10

So |x|=1
Means that x=+ 1,-1

Answer 11

So |x-20| ≤2
Means
x-20 ≤ 2
AND
x-20 ≤-2

Answer 12

So x ≤22 and x ≤18

So yes 18 ≤x ≤22

Answer 13

Breaking it down how i have done it is much easier to grasp

Answer 14

Makes sense?