For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:[tex]2x + 10[/tex]
Three times that number less 4. is represented as:
[tex]3x-4[/tex]
Thus, the complete expression is:
[tex]2x + 10> 3x-4[/tex]
Subtracting 3x from both sides of the inequality:
[tex]2x-3x + 10> -4\\-x + 10> -4[/tex]
Subtracting 10 from both sides of the inequality:
[tex]-x> -4-10[/tex]
Equal signs are added and the same sign is placed:
[tex]-x> -14[/tex]
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
[tex]x <14[/tex]
The solution is given by all values of "x" less than 14.
Answer:
[tex]x <14[/tex]
