Answer:
The solution for x is (-∞, 3).
Step-by-step explanation:
The provided inequality is: [tex]4x-2<10[/tex]
Solve for x a follows:
[tex]4x-2<10\\\\Add\ 2\ to\ both\ sides\\\\4x-2+2<10+2\\\\4x<12\\\\Divide\ both\ sides\ by\ 4\\\\\frac{4x}{4}<\frac{12}{4}\\\\x<3[/tex]
The range of the values of x is
[tex]x<3\\This\ implies\ that\ x\ belongs\ to\ the\ interval\ (-\infty, 3)[/tex]
Thus, the range of the values of x is (-∞, 3).