Question

solve the linear inequality for n. write your answer in inequality notation.
2(8n + 10) - 5 > 36n - 45
show your work here
to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Expand left-hand side

$2(8n+10)-5 = 16n + 20 - 5 = 16n + 15$

Step2: Rewrite the inequality

$16n + 15 > 36n - 45$

Step3: Isolate n terms to one side

Subtract $16n$ from both sides:
$15 > 20n - 45$

Step4: Isolate constant terms to one side

Add 45 to both sides:
$60 > 20n$

Step5: Solve for n

Divide both sides by 20:
$\frac{60}{20} > n$
$3 > n$

Answer:

$n < 3$