We can simplify the inequality to get the compound inequality:
w ≤ 3 or w ≥ 9
How to solve the inequality?
Here we have the absolute value inequality:
7|w-6|≥21
Let's solve this for w, to do so, we need to isolate the variable.
First, divide both sides by 7, we will get:
|w-6|≥21/7
|w - 6| ≥ 3
Now we can break the absolute value part to get:
w - 6 ≥ 3
w - 6 ≤ -3
Solving both for w we get:
w ≥ 3 + 6 = 9
w ≤ -3 + 6 = 3
Then the inequality is:
w ≤ 3 or w ≥ 9