Which values are solutions to the inequality below? Check all that
Sqrt x>=9
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Given:
The given inequality is [tex]\sqrt{x} \geq 9[/tex]
We need to determine the solution to the inequality.
Solution of the inequality:
The solution of the inequality can be determined by solving the inequality.
Let's equate the inequality.
Thus, we have;
[tex]\sqrt{x} =9[/tex]
Squaring on both sides, we get;
[tex]x=9^2[/tex]
Simplifying, we get;
[tex]x=81[/tex]
Let us check the solution in the original expression.
Substituting [tex]x=81[/tex] in [tex]\sqrt{x} \geq 9[/tex], we get;
[tex]\sqrt{81}\geq 9[/tex]
[tex]9\geq 9[/tex]
Thus, the solution satisfies the inequality.
Thus, the solution to the inequality is 81.
Hence, Option E is the correct answer.