Question

solve for d.
-19d - 37 ≥ -29 + 35d or d - 10 > 65
write your answer as a compound inequality with integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Solve the first inequality

Add $19d$ to both sides of $-19d - 37\geq - 29+35d$:
$-37\geq - 29 + 35d+19d$
$-37\geq - 29+54d$
Add 29 to both sides:
$-37 + 29\geq54d$
$-8\geq54d$
Divide both sides by 54:
$d\leq-\frac{8}{54}=-\frac{4}{27}$

Step2: Solve the second inequality

Add 10 to both sides of $d - 10>65$:
$d>65 + 10$
$d>75$

Answer:

$d\leq-\frac{4}{27}$ or $d>75$