Answer:
w ≥ 141/2
Explanation:
12 − 4/6 w ≤ 2/8 − 3/6 w
First, combine like terms. Add 4/6 w to both sides, and subtract 2/8 from both sides.
12 − 2/8 ≤ 4/6 w − 3/6 w
12 − 2/8 ≤ 1/6 w
Reduce 2/8 to 1/4:
12 − 1/4 ≤ 1/6 w
To get rid of the fractions, multiply both sides by 12 (the LCM of 4 and 6):
12 (12 − 1/4) ≤ 12 (1/6 w)
144 − 3 ≤ 2w
141 ≤ 2w
Divide by 2:
141/2 ≤ w
If you'd like, flip the equation:
w ≥ 141/2