[tex]\text{The quotient of two times a number and 5 is no more than 11.}\\\\n-a\ number\\\\\dfrac{2n}{5}\leq11\qquad\text{multiply both sides by 5}\\\\2n\leq55\qquad\text{divide both sides by 2}\\\\\boxed{n\leq\dfrac{55}{2}=27\dfrac{1}{2}}[/tex]
The quotient of two times a number and 5 is no more than 11 is equal to [tex]\rm n\leq \dfrac{55}{2}= 27\dfrac{1}{2}[/tex].
Given
The quotient of two times a number and 5 is no more than 11.
Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Let, the number be n.
The number is the quotient of two times a number and 5 is;
[tex]\rm \dfrac{2n}{5}[/tex]
Then,
The quotient of two times a number and 5 is no more than 11 can be written as;
[tex]\rm \dfrac{2n}{5}\leq 11\\\\ \dfrac{2n}{5} \times 5\leq 11\times 5\\\\2n\leq 55\\\\\dfrac{2n}{2}\leq \dfrac{55}{2}\\\\n\leq \dfrac{55}{2}= 27\dfrac{1}{2}[/tex]
Hence, The quotient of two times a number and 5 is no more than 11 is equal to [tex]\rm n\leq \dfrac{55}{2}= 27\dfrac{1}{2}[/tex].
To know more about inequality click the link given below.
https://brainly.com/question/19491153
