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# help pls

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Solve |5 + 3w| <= 2.

Sep 9, 2020

#1
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We have 2 cases, $$5 + 3w \le 2, and -5 - 3w \le 2$$

Starting with the first case $$​​5 + 3w \le 2$$ , we can subtract 5 from both sides to get $$3w \le -3$$, and then divide by 3 for an answer of $$w \le -1$$, keeping in mind 3 is positive so we don't switch the sign.

Now for our second case, $$- 5 - 3w \le 2$$, we add five to both sides giving us, $$- 3w \le 7$$, now dividing by $$-3$$ and making sure we flip the sign, we get,

$$w \ge - \dfrac{7}{3}$$

But wait, we still have to combine our answers giving us $$\boxed{-\frac{7}{3} \le w \le -1}$$

Sep 9, 2020