Question

Which values are solutions to the inequality below? Check all that Sqrt x>=9

Answer 1

Given:

The given inequality is $\sqrt{x} \geq 9$

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;

$\sqrt{x} =9$

Squaring on both sides, we get;

$x=9^2$

Simplifying, we get;

$x=81$

Let us check the solution in the original expression.

Substituting $x=81$ in $\sqrt{x} \geq 9$, we get;

$\sqrt{81}\geq 9$

   $9\geq 9$

Thus, the solution satisfies the inequality.

Thus, the solution to the inequality is 81.

Hence, Option E is the correct answer.