We have 2 cases, 5+3w≤2,and−5−3w≤2
Starting with the first case 5+3w≤2 , we can subtract 5 from both sides to get 3w≤−3, and then divide by 3 for an answer of w≤−1, keeping in mind 3 is positive so we don't switch the sign.
Now for our second case, −5−3w≤2, we add five to both sides giving us, −3w≤7, now dividing by −3 and making sure we flip the sign, we get,
w≥−73
But wait, we still have to combine our answers giving us −73≤w≤−1
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