n<−1.6 repeating is the answer
the work
Let's solve your inequality step-by-step.
5>0.6(10+n)
Step 1: Simplify both sides of the inequality.
5>0.6n+6
Step 2: Flip the equation.
0.6n+6<5
Step 3: Subtract 6 from both sides.
0.6n+6−6<5−6
0.6n<−1
Step 4: Divide both sides by 0.6.
0.6n
0.6
<
−1
0.6
n<−1.6 repeating