The inequality is ;
27 < 5x + 7 or 5x + 7 > 27 and this means;
4 < x or x > 4
Here, we want to write an inequality of the statement given
Let the number be x
5 times the number = 5 * x = 5x
5 times the number increased by 7 is 5x + 7
27 is smaller than this means it is less than it
Applying the inequality sign;
27 < 5x + 7 or 5x + 7 > 27
To solve the inequality, we have the following;
27 - 7 < 5x or 5x > 27-7
20 < 5x or 5x > 20
divide both sides by 5
20/5 < 5x/5 or 5x/5 > 20/5
4 < x or x > 4