Question

Question 6 of 10Which inequality represents all values of x for which the product below isdefined?√√x-4√x+1O A. x2-1OB. x20OC. x24OD. x≤4

Answer 1

Given:

`√(x-4)\cdot√(x+1)`

The expression is defined when the number under the radical sign is not negative. The number under the radical must be greater than or equal to 0.

Hence,

`\begin{gathered} x-4\ge0 \\ x\ge0+4 \\ x\ge4 \\ \\ \\ x+1\ge0 \\ x\ge0-1 \\ x\ge-1 \end{gathered}`

The inequality that satisfies both cases, therefore, is;

`x\ge4`

Therefore, OPTION C is correct.