Answer:
[tex]3x-10<5\\x<5[/tex]
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
[tex]3x-10<5[/tex]
To find the range of possible values, we must solve the inequality and isolate x.
[tex]3x-10<5[/tex]
Add 10 to both sides
[tex]3x-10+10<5+10\\3x<15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]
I hope this helps!