Question

1. solve the inequality for n.

$5(3n + 1) < 5n - 15$
type a response
show your work

Explanation:

Step1: Expand left-hand side

$5(3n+1) = 15n + 5$, so the inequality becomes:
$15n + 5 < 5n - 15$

Step2: Subtract $5n$ from both sides

$15n - 5n + 5 < 5n - 5n - 15$
$10n + 5 < -15$

Step3: Subtract 5 from both sides

$10n + 5 - 5 < -15 - 5$
$10n < -20$

Step4: Divide by 10 on both sides

$\frac{10n}{10} < \frac{-20}{10}$
$n < -2$

Answer:

$n < -2$