Hm, interesting inequality.
If you know that it slightly simplifies to [tex]2x\gt14[/tex] then you could go about representing something in real life,
Buying shoes is always done in pairs, if u buy two pairs of shoes you bought 4 shoes. You can only ever buy an even number of shoes which is represented by [tex]2x[/tex].
So you are asking yourself how many pairs you had to buy in order to have more than 14 shoes. The answer is of course, 7 pairs means exactly 14 shoes but since you need more the answer is 8 pairs. Represented by,
[tex]x\gt7=\{8,9,10,\dots,\aleph_0\}[/tex]
assuming [tex]x\in\mathbb{N}[/tex], which is appropriate since you cannot buy negative shoe or [tex]0.43819[/tex] of a shoe pair.
However, if you cannot change the inequality at all, you can use the above paragraph but simply add, you have 3 pairs (6 shoes) of shoes that are indispensable and you want to know the minimum number of shoe pairs you need to buy so that you always have more than 20 shoes.
Notes
[tex]\aleph_0[/tex] is the number of natural numbers [tex]\mathbb{N}[/tex] there are.
[tex]\{\dots\}[/tex] is explicit set notation, ie. which values concretely satisfy the inequality.
Hope this helps :)
