Answer
{d | d≤−2 4/5}∪{d | d≥−1 3/5}
Work Step by Step
3≤|5d+11|⟶ write a compound inequality using the definition of absolute values
5d+11≤−3 OR 5d+11≥3⟶ solve each inequality
5d+11≤−3⟶ subtract 11 from each side
5d+11−11≤−3−11⟶ subtract
5d≤−14⟶ divide each side by 5
5d÷5≤−14÷5⟶ divide
d≤−2 4/5
OR
5d+11≥3⟶ subtract 11 from each side
5d+11−11≥3−11⟶ subtract
5d≥−8⟶ divide each side by 5
5d÷5≥−8÷5⟶ divide
d≥−1 3/5
A compound inequality joined by OR is the union of the two solution sets.
