ANSWER
[tex]x\text{ }\ge\text{ 3}[/tex]EXPLANATION
We have that:
Six more than five times a number (x) is at least twenty-one.
That means that six times more than five times a number is greater than or equal to twenty-one.
To write this, we have that:
[tex]\begin{gathered} 6\text{ + 5x }\ge\text{ 21} \\ \text{Collect like terms:} \\ 5x\text{ }\ge\text{ 21 - 6} \\ 5x\text{ }\ge\text{ 15} \\ \text{Divide through by 5} \\ x\text{ }\ge\text{ }\frac{15}{5} \\ x\text{ }\ge\text{ 3} \end{gathered}[/tex]The number is 3.