Question

CHECKING SOLUTIONS OF INEQUALTTIES Check whether the given number is a solution of the inequality. $$r+2 r<30 ; 9$$

Short answer

Yes, the number 9 is a solution to the inequality \(r+2r<30\).

Step-by-step solution

Simplify the Inequality

First, simplify the inequality \(r+2r<30\) to \(3r<30\). This simplification involves adding \(r\) and \(2r\) to become \(3r\).

Substitution

Next, substitute 9 to \(r\) in the equation \(3r<30\). This results in \(3*9<30\) which simplifies further to \(27<30\).

Verification

Finally, 27 is less than 30 and therefore, the inequality holds. So, the number 9 is a solution to the inequality \(r+2r<30\).