Question

solve the inequality. graph the solution set and write it in interval notation. 6x - 5 > 5x - 6. choose the correct graph below. write the solution set in interval notation.

Explanation:

Step1: Isolate x - terms

Subtract 5x from both sides: $6x - 5x-5>5x - 5x-6$.
Simplify to get $x - 5>-6$.

Step2: Solve for x

Add 5 to both sides: $x-5 + 5>-6 + 5$.
We obtain $x>-1$.

Step3: Graph and interval - notation

The graph has an open - circle at $x = - 1$ and a ray pointing to the right. In interval notation, the solution set is $(-1,\infty)$.

Answer:

The solution set in interval notation is $(-1,\infty)$.