Solve for b.–2–4b≤–6b–18Write your answer with b first, followed by an inequality symbol.

Question

Solve for b.–2–4b≤–6b–18Write your answer with b first, followed by an inequality symbol.

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Solution

Sure, let's solve the inequality step by step:

-2 - 4b ≤ -6b - 18

First, let's get all the b terms on one side and the constants on the other side. We can do this by adding 6b to both sides and adding 2 to both sides:

-4b + 6b ≤ -18 + 2

This simplifies to:

2b ≤ -16

Finally, divide both sides by 2 to solve for b:

b ≤ -8

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