Question

solve the inequality and graph the solution.
2 - n > -6
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the variable term

Subtract 2 from both sides of the inequality $2 - n> - 6$. We get $2 - n-2>-6 - 2$, which simplifies to $-n>-8$.

Step2: Solve for n

Multiply both sides of the inequality $-n > - 8$ by -1. Remember to reverse the inequality sign when multiplying by a negative number. So we have $n < 8$.

Step3: Graph the solution

On the number - line, we plot an open circle at 8 (since the inequality is $n < 8$, 8 is not included in the solution set) and draw a ray to the left.

Answer:

The solution of the inequality is $n < 8$. On the number - line, an open circle is at 8 and the ray points to the left.