Question

3(n+5)≥3n+8 a. All real numbers b. N≥7 c. N≥23 d.No solution

Answer 1

$3(n+5)\geq3n+8\qquad|\text{use distributive property}\\\\(3)(n)+(3)(5)\geq3n+8\\\\3n+15\geq3n+8\qquad|\text{subtract 8n from both sides}\\\\15\geq8\qquad|\text{TRUE}\\\\Answer:\ \boxed{a.\ All\ real\ numbers}$