The inequality that represents all x values is [tex]x \ge 4[/tex]
The expression is given as:
[tex]\sqrt{x - 4} \cdot \sqrt{x + 1}[/tex]
Set the radicands to >=0
[tex]x - 4 \ge 0[/tex] or [tex]x + 1 \ge 0[/tex]
Solve for x in both inequalities
[tex]x \ge 4[/tex] or [tex]x \ge -1[/tex]
When [tex]x \ge -1[/tex], the first radicand is irrational from some x values
Hence, the inequality that represents all x values is [tex]x \ge 4[/tex]
Read more about inequalities at:
https://brainly.com/question/11234618
