Question

1. solve the inequality *
2. $8n + 7 > 143$

a) $n > -9$ b) $n > -49$
c) $n > -5$ d) $n > 17$

1. solve the inequality *
2. $-9b - 4 < -13$

a) $b > 1$ b) $b > -34$
c) $b > -3$ d) $b < -3$

Explanation:

Question 1:

Step1: Subtract 7 from both sides

$8n + 7 - 7 > 143 - 7$
$8n > 136$

Step2: Divide both sides by 8

$\frac{8n}{8} > \frac{136}{8}$
$n > 17$

Step1: Add 4 to both sides

$-9b - 4 + 4 < -13 + 4$
$-9b < -9$

Step2: Divide by -9 (reverse inequality)

$\frac{-9b}{-9} > \frac{-9}{-9}$
$b > 1$

Answer:

D) \( n > 17 \)

Question 2: