Answer:
[tex]x < - 5[/tex]
Step-by-step explanation:
1: Solve the inequality:
[tex]3x - 11 > 7x + 9[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]3x - 7x > 9 + 11[/tex]
Combine like terms:
[tex] - 4x > 9 + 11[/tex]
Calculate the sum or difference:
[tex] - 4x > 20[/tex]
Reduce the greatest common factor for both sides of the inequality:
[tex] - x > 5[/tex]
Divide both side of the inequality by the coefficient of variable:
[tex]x < - 5[/tex]
2: plot:
[tex]x < - 5[/tex]
Graph on number line:
