Help on syntax for if/else on WP_Query?

I successfully used code below to display posts from the last 10 days in category #52. But I can not discover how to not display any content if there are zero posts. Of course the area where Posts are displayed will be blank, but how do I eliminate also the code before the WP_Query where it displays the category and the text below?

<h1><?php the_category(); ?></h1>
<p>Here are recent posts from the last 10 days:</p>
   <?php
function filter_where( $where = '' ) {
	$where .= " AND post_date > '" . date('m-d-Y', strtotime('-10 days')) . "'";
	return $where;
}
add_filter( 'posts_where', 'filter_where' );
		$recentPosts = new WP_Query();
		$recentPosts->query('showposts=20&cat=52');
		while ($recentPosts->have_posts()) :
		$recentPosts->the_post();
$query = new WP_Query( $query_string );
remove_filter( 'posts_where', 'filter_where' );
	?>
<p><a href="<?php the_permalink(); ?>" title="<?php the_title_attribute(); ?>"><b><?php the_title(); ?></b></a><br><?php echo get_the_date(); ?><br><?php the_content('More info'); ?></p>
	<?php endwhile; ?>