Answer
The set- builder notation for all real numbers that satisfy the given condition is \[\left\{ x|x\le 5 \right\}\]
Work Step by Step
Let us suppose the number is\[x\].
Then, the algebraic form of the inequality is:
\[x+5\ge 2x\]
And now to find out possible values of \[x\] satisfying the inequality the inequality is solved as follows:
\[\begin{align}
& x+5\ge 2x \\
& 5\ge 2x-x \\
& 5\ge x \\
& x\le 5
\end{align}\]
Hence all the real numbers less than or equal to 5 will satisfy the condition.
The set-builder form of the inequality obtained is:
\[\left\{ x|x\le 5 \right\}\]
The set- builder notation for all real numbers that satisfy the given condition is \[\left\{ x|x\le 5 \right\}\]
