Respuesta :

Answer:

x < 13

Step-by-step explanation:

We start with the given inequality:

x - 4 < 9

Now the first thing to realize is that we can add the same number to both sides of the inequality and it remains unchanged.

we add 4 to both sides of the inequality to isolate the x on the left side of the inequality.

x - 4 + 4 < 9 + 4

x < 13

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{x} < \textsf{13}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{x - 4} < \textsf{9}[/tex]

Find: [tex]\textsf{The simplified inequality}[/tex]

Solution:  In order to simplify the inequality we can simply add 4 to both sides which would isolate x.

Add 4 to both sides

  • [tex]\textsf{x - 4 + 4} < \textsf{9 + 4}[/tex]
  • [tex]\textsf{x} < \textsf{9 + 4}[/tex]
  • [tex]\textsf{x} < \textsf{13}[/tex]

Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.