Answer:
Given the inequality: [tex]5x < 16 +x[/tex]
Subtraction property of equality states that you subtract the same number to both sides of an equation.
subtract x from both sides we get;
[tex]5x -x < 16 + x -x[/tex]
Simplify:
[tex]4x < 16[/tex]
Divide both sides by 4 we get;
[tex]x < 4[/tex]
Therefore, the solution set for the given inequality is, [tex](-\infty, 4)[/tex]