Question 466949
{{{(1/4)(5x - 1/2) - 5/3 < 1/3}}}
Add 5/3 to both sides
1/3 + 5/3 = 6/3 = 2
**Same denominator so just add the numerators**
{{{(1/4)(5x - 1/2) < 2}}}
Multiply by 4 on both sides
**This cancels out the 1/4, {{{(1/4)*(4/1) = 1}}} **
{{{5x - 1/2 < 8}}}
Add 1/2 on both sides
8 + 1/2 = 16/2 + 1/2 = 17/2
**Different denominators so rewrite 8 as a fraction with 2 as denominator**
{{{5x < 17/2}}}
Divide by 5 on both sides
**Remember dividing by 5 is equivalent to multiplying by 1/5**
{{{x < 17/10}}}