define a variable and write an inequality for each problem.then solve.

Nineteen more than a number is less than 42.

19 + n < 42

To solve this problem, let's first define a variable. Let's call the number "x".

Now, let's translate the given information into an inequality. The phrase "Nineteen more than a number" can be represented as "x + 19", and the phrase "is less than 42" is represented by "< 42". So, the inequality becomes:

x + 19 < 42

To solve this, we need to isolate the variable "x".

Subtract 19 from both sides of the inequality:

x + 19 - 19 < 42 - 19
x < 23

Therefore, the solution to the inequality is x < 23.