Answer:
[tex]x< 4[/tex] or [tex](-\infty,\ 4)[/tex]
Step-by-step explanation:
We have the following inequality
[tex]3x - 5 < 7[/tex]
We must solve for the variable x
To solve the inequality, add 5 on both sides of the inequality
[tex]3x - 5 +5 < 7+5[/tex]
Now simplify
[tex]3x< 12[/tex]
now divide by 3 on both sides of the inequality
[tex]\frac{3}{3}x< \frac{12}{3}[/tex]
[tex]x< 4[/tex]
The solution is the set of all real numbers that belong to the interval
[tex](-\infty,\ 4)[/tex]
