Let n is the unknown number.

The word twice a number n increased by 4 represents .

The word is at least represents .

The word 10 more than the number n represents .

The word Twice a number n increased by 4 is at least 10 more than the number n. represents .

The inequality is .

Apply subtraction property of inequality: If .

Subtract n from each side.

Apply commutative property of addition: If .

Subtract 4 from each side.

.

The solution set is .

Check:

To check, substitute three different values for n into the original inequality: 6, a number less than 6, and greater than 6.

Let three values are .

If then     (This is false)

If then      (This is true)

If then      (This is true)

The inequality is and the solution set is .