Let's solve your inequality step-by-step.|8a+5|−6<4Step 1: Add 6 to both sides.|8a+5|−6+6<4+6|8a+5|<10Step 2: Solve Absolute Value.|8a+5|<10We know8a+5<10and8a+5>−108a+5<10(Condition 1)8a+5−5<10−5(Subtract 5 from both sides)8a<58a/8<5/8(Divide both sides by 8)a<5/88a+5>−10(Condition 2)8a+5−5>−10−5(Subtract 5 from both sides)8a>−158a/8>−15/8(Divide both sides by 8)
a>−15/8Answer:a<5/8 and a>−15/8