Question

Determine if the following answers are true or false. If false, justify why it’s not true and find the correct answer(s). If true, justify why they are correct. You must show your step-by-step process to solve each question to receive full credit.

Answer 1

Given the following inequality

`\begin{gathered} \tan ^2(x)>\sqrt[]{5} \\ x\in\lbrack-\pi,\pi\rbrack \\ \end{gathered}`

We need to check if x=0.981 is a solution.

This value is inside of the range, then, we just need to evaluate.

`\tan ^2(0.981)\approx2.2325919107`

Calculating the square root of 5:

`\sqrt[]{5}\approx2.2360679775`

From this, we know that the statement is false, because

`\tan ^2(0.981)<\sqrt[]{5}`