Solve the inequality $15 x+1> 3(5 x+1)-x+6$ and select the graph of the solutions.
What is the solution?
$\{x \mid \square$ (Type an inequality.)
Answer
\(\boxed{x > 8}\) is the solution to the inequality $15x + 1 > 3(5x + 1) - x + 6$.
Step 1 ：First, simplify the inequality by distributing the 3 on the right side of the inequality and then combining like terms. This gives us the inequality $15x + 1 > 14x + 9$.
Step 2 ：Next, isolate x on one side of the inequality to find the solution. This gives us $x > 8$.
Step 3 ：Finally, represent this solution graphically. The graph is a line graph where the line starts at $x = 8$ and continues to the right, indicating that all values greater than 8 are part of the solution.
Step 4 ：\(\boxed{x > 8}\) is the solution to the inequality $15x + 1 > 3(5x + 1) - x + 6$.
