Answer: The solution for the inequality is [tex]x < 5[/tex] .
Step-by-step explanation:
Solve inequality:
[tex]3x +7 > 4x +2[/tex]
-Subtract [tex]4x[/tex] from [tex]3x[/tex]:
[tex]3x -4x +7 > 4x -4x+2[/tex]
[tex]-x +7 > 2[/tex]
Subtract both sides by 7:
[tex]-x +7 -7 > 2 -7[/tex]
[tex]-x >-5[/tex]
-When you are dividing by -1, the inequality would change:
[tex]\frac{-x}{-1} > \frac{-5}{-1}[/tex]
[tex]x < 5[/tex]
So, the result for the inequality is [tex]x < 5[/tex] .
