MATH SOLVE

4 months ago

Q:
# Which inequalities are equivalent to n+15 <22? Select three options.On+15-15<22-15On+15<22-15On+15-22 <22-22On+15+6 <22+6On+ 15-22 <22PLEASE HELP

Accepted Solution

A:

Answer:Option 1) [tex]n+15-15<22-15[/tex]Option Β 3) [tex]n+15-22 <22-22[/tex]Option 4) [tex]n+15+6 <22+6[/tex]Step-by-step explanation:We are given an inequality in the question:[tex]n+15 <22[/tex]We have to find the inequalities equivalent to the given inequality.1)[tex]n+15-15<22-15\\n + 15 < 22-15 + 15\\n +15 < 22[/tex]which is equivalent to the given inequality.2) [tex]n+15<22-15\\n +15 < 7[/tex]which is not equivalent to the given inequality.3)[tex]n+15-22 <22-22\\n+15 < 22-22+22\\n +15 < 22[/tex]which is equivalent to the given inequality.4)[tex]n+15+6 <22+6\\n +15 < 22+6-6\\n+15 < 22[/tex]which is equivalent to the given inequality.5)[tex]n+15-22 <22\\n+15< 22+22\\n+15<44[/tex]which is not equivalent to the given inequality.