Two times a number decreased by six is between -28 and 42. Find the interval for valid values. notation.)

Answer 1

-28 < 2x -6 < 42

add 6

-22 < 2x < 36

divide by 2

-11 < x < 18

x is in the interval (-11,18)

UNLESS you meant to write

-28 < 2(x-6) < 42

divide by 2

-14 < x-6 < 21

add 6

-8 < x < 28

x is in the interval (-8, 28)