Question

solve the inequality and graph the solution. 6x - 5 > 5x - 6. choose the correct graph below.

Explanation:

Step1: Solve the inequality

Subtract \(5x\) from both sides: \(6x - 5x-5>5x - 5x-6\), which simplifies to \(x - 5>-6\). Then add 5 to both sides: \(x-5 + 5>-6 + 5\), so \(x>-1\).

Step2: Analyze the graph representation

An open - circle is used for \(>\) (not including the endpoint), and the arrow points to the right for values greater than \(- 1\).

Answer:

D. (assuming D is the graph with an open - circle at \(-1\) and an arrow pointing to the right)