Question

The first jump in a unicycle high-jump contest is shown. The bar is raised $2$ centimeters after each jump. Solve the inequality $2n+10\ge 26$ to find the numbers of additional jumps needed to meet or exceed the goal of clearing a height of $26$ centimeters.

Answer 1

Solve the inequality

We have, $2n+10\ge 26$

$\Rightarrow 2n+10–10\ge 26-10$ [ Subtract $10$ from both sides ]

$\Rightarrow 2n\ge 16$

$\Rightarrow \frac{2n}{2}\ge \frac{16}{2}$ [ Divide both sides by $2$ ]

$\therefore n\ge 8$

Hence, the numbers of additional jumps needed to meet or exceed the goal of clearing a height of $26$ centimeters is $8$.