Question

#11 modeling real life the first jump in a unicycle high - jump contest is shown. the bar is raised 2 centimeters after each jump. solve the inequality 2n + 10 ≥ 26. what is the number of additional jumps needed to meet or exceed the goal of clearing a height of 26 centimeters. the solution of the inequality is \square.

Explanation:

Step1: Subtract 10 from both sides

We start with the inequality \(2n + 10\geq26\). Subtract 10 from both sides: \(2n+10 - 10\geq26 - 10\), which simplifies to \(2n\geq16\).

Step2: Divide both sides by 2

Now, divide both sides of the inequality \(2n\geq16\) by 2. So, \(\frac{2n}{2}\geq\frac{16}{2}\), which gives \(n\geq8\).

Answer:

\(n\geq8\)