Using Powershell v2.0 I want to delete any files older than X days:

$backups = Get-ChildItem -Path $Backuppath | 
                Where-Object {($_.lastwritetime -lt (Get-Date).addDays(-$DaysKeep)) -and (-not $_.PSIsContainer) -and ($_.Name -like "backup*")}

foreach ($file in $backups)
{
    Remove-Item $file.FullName;
}

However, when $backups is empty I get: Remove-Item : Cannot bind argument to parameter 'Path' because it is null.

I've tried:

1. Protecting the foreach with if (!$backups)
2. Protecting the Remove-Item with if (Test-Path $file -PathType Leaf)
3. Protecting the Remove-Item with if ([IO.File]::Exists($file.FullName) -ne $true)

None of these seem to work, what if the recommended way of preventing a foreach loop from being entered if the list is empty?