Question

writing andrew plans to build a tree house that is \\(\frac{1}{2}\\) the size of cynthias tree house. andrew plans to make the area of his tree house at least 14 square feet. write and solve an inequality to find the area of cynthias tree house. use pencil and paper. describe how you know which tree house is larger without solving the inequality.
let x be the area of cynthias tree house. complete the inequality.
\\(\frac{1}{2}x \geq 14\\)
the area of cynthias tree house is at least \\(\square\\) square feet.

Explanation:

Step1: Identify the inequality

We have the inequality \(\frac{1}{2}x \geq 14\), where \(x\) is the area of Cynthia's tree house.

Step2: Solve the inequality

To solve for \(x\), we multiply both sides of the inequality by \(2\) (since multiplying by a positive number doesn't change the direction of the inequality). So, \(2\times\frac{1}{2}x \geq 2\times14\), which simplifies to \(x \geq 28\).

Answer:

28