Question

Question 5 of 10Which inequality represents all values of x for which theproduct below is defined?x-5.X+2A. X2-2B. X55O C. X25O D. X20SUBMIT

Answer 1

`x\ge-2`

Step-by-step explanation: The product has two square-roots being multipled together, the inside of each of the root must be greater than or equal to zero, this in Mathematics can be written as follows:

`\begin{gathered} \sqrt[]{x-5}*\sqrt[]{x+2} \\ \end{gathered}`

Therefore, applying the condition leads us to the following conclusion:

`\begin{gathered} \sqrt[]{x-5}*\sqrt[]{x+2} \\ \therefore\rightarrow \\ x-5\ge0\rightarrow x\ge5 \\ x+2\ge0\rightarrow x\ge-2 \end{gathered}`

Therefore it follows that x must be:

`x\ge-2`