Question

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 to find the numbers 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

To isolate the term with \( n \), we subtract 10 from both sides of the inequality \( 2n + 10 \geq 26 \). This gives us \( 2n + 10 - 10 \geq 26 - 10 \), which simplifies to \( 2n \geq 16 \).

Step2: Divide both sides by 2

To solve for \( n \), we divide both sides of the inequality \( 2n \geq 16 \) by 2. This gives us \( \frac{2n}{2} \geq \frac{16}{2} \), which simplifies to \( n \geq 8 \).

Answer:

\( n \geq 8 \)