Rearrange the first inequality to match the second inequality and fill in the blanks for the variables. Then select the appropriate intervals to create the solution set for this inequality. 4 x + 7 x + 1 < 11 x + 2

The solution set would be all real numbers

Step-by-step explanation:

Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.

In this case it would be:

4x + 7x + 1 < 11x + 2

(Four plus seven is 11)

11x + 1 < 11x + 2

We can see that x is eliminated, because we change the sign on 11 to be - 11:

11x - 11x + 1 < 2

1 < 2

This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers