Question

solve the inequality and graph the solution.
2(r - 10) + 9 > 1
plot the endpoints. select an endpoint to change it from closed to ope
the segment, ray, or line to delete it.

Explanation:

Step1: Expand the left side

$2(r - 10) + 9 = 2r - 20 + 9$

Step2: Simplify the expression

$2r - 20 + 9 = 2r - 11$

Step3: Isolate the variable term

$2r - 11 > 1 \implies 2r > 1 + 11$

Step4: Solve for $r$

$2r > 12 \implies r > \frac{12}{2} = 6$

Answer:

The solution to the inequality is $r > 6$.

For the graph:

• Plot an open circle at $6$ on the number line (since the inequality is strict, no equality).
• Draw a ray extending to the right from the open circle at $6$ to represent all values greater than $6$.