Question

solve the inequality and graph the solution. 44 + 5u ≥ 54. 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: Isolate the variable term

Subtract 44 from both sides of the inequality $44 + 5u\geq54$. We get $44 + 5u-44\geq54 - 44$, which simplifies to $5u\geq10$.

Step2: Solve for the variable

Divide both sides of the inequality $5u\geq10$ by 5. So, $\frac{5u}{5}\geq\frac{10}{5}$, and $u\geq2$.

Step3: Graph the solution

On the number - line, plot a closed circle at 2 (because the inequality is $\geq$, indicating that 2 is included in the solution set) and draw a ray to the right of 2.

Answer:

The solution of the inequality is $u\geq2$. On the number - line, a closed circle is at 2 and a ray extends to the right.