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Solve for $b$ . $\newline$ $3(b - 17) + 14 > 8$

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Solve advanced linear inequalities

Full solution

Q. Solve for

b

.

\newline

3(b - 17) + 14 > 8

Combine like terms: Now, combine like terms on the left side: $3b - 51 + 14$ becomes $3b - 37$ .
Add to isolate term: Next, add $37$ to both sides to isolate the term with $b$ : $3b - 37 + 37 > 8 + 37$ .
Addition result: After adding, we get $3b > 45$ .
Divide to solve: Finally, divide both sides by $3$ to solve for $b$ : $\frac{3b}{3} > \frac{45}{3}$ .
Final solution: So, $b > 15$ .

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