Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
