For this case we must resolve the following inequality:
[tex]750x + 150 <1000[/tex]
Subtracting 150 from both sides of the inequality we have:
[tex]750x <1000-150\\750x <850[/tex]
We divide between 750 on both sides of the equation:
[tex]x <\frac {850} {750}[/tex]
We simplify, dividing by 5 numerator and denominator:
[tex]x <\frac {170} {150}[/tex]
We simplify, dividing by 5 numerator and denominator:
[tex]x <\frac {34} {30}[/tex]
We simplify, dividing by 2 numerator and denominator:
[tex]x <\frac {17} {15}[/tex]
Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]
Answer:
[tex]x <\frac {17} {15}[/tex]
