Hi @lukeshield
You should be able to do it like this:
<?php if( get_sub_field('carnivore_option') ){ ?>
<div><img src="image1.jpg"><?php the_sub_field('carnivore_option'); ?></div>
<?php } ?>
<?php if( get_sub_field('dairy_option') ){ ?>
<div><img src="image1.jpg"><?php the_sub_field('dairy_option'); ?></div>
<?php } ?>
I hope this helps 🙂