The ideal length of a particular metal rod is 20.5 cm. the measured length may vary from the ideal length by at most 0.045 cm. what is the range?

*the equal sign is for less than / greater than or equal to*

a) x< = 20.455 or x> =20.545
b) 20.455 > = x < = 20.545
c) 20.454 > = x > = 20.545
d) 20.455 < = x < = 20.545

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hence, option D is true.

D) 20.455 <= X <= 20.545

4x and 6y

im not sure though