Question

Which inequality represents all values of x for which the product below is defined?A.x 0B.x 6C.x -3D.x 6

Answer 1

Step 1:

Write the expression:

`\sqrt{x\text{ - 6}}\text{ . }\sqrt{x\text{ + 3}}`

Step 2:

`\begin{gathered} Apply\text{ the rule below:} \\ √(a)\text{ . }√(b)\text{ = }√(ab) \end{gathered}`

Step 3:

Step 4:

`x\le \:-3\quad \mathrm{or}\quad \:x\ge \:6\:`

Final answer

`\begin{gathered} Option\text{ D } \\ x\text{ }\ge\text{ 6} \end{gathered}`