A factory is manufacturing cell phones that must each have a thickness of 0.5±0.001 inch. Which inequality describes the acceptable range of x, the thickness in inches of a cell phone?

A factory is manufactuaring cell phones that must each have a thickness of 0.5+/-0.001 inch. Which inequality describes the acceptable range of x, the thickness in inches of a cell phone?

A. 0.499 ≤ x ≤ 0.501

B. x ≤ 0.49 or x ≥ 0.51

C. x ≤ 0.499 or x ≥ 0.501

D. 0.49 ≤ x ≤ 0.51

I believe it was C

it is c, trust i got your back lol

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .