Question

solve the inequality and graph the solution. 1 < 10 + 9u. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Solve the inequality for u

Subtract 10 from both sides of $1<10 + 9u$.
$1-10<10 + 9u-10$
$-9<9u$
Then divide both sides by 9.
$\frac{-9}{9}<\frac{9u}{9}$
$- 1 - 1$

Step2: Graph the solution

The solution $u>-1$ is graphed on a number - line. We use an open circle at $u = - 1$ (because the inequality is strict, $u$ cannot equal - 1) and draw a ray to the right of $u=-1$ to represent all the values of $u$ that satisfy the inequality.

Answer:

The solution of the inequality is $u > - 1$. On the number - line, we have an open circle at $u=-1$ and a ray extending to the right.