<PRE><B>Question 163837</B>
{{{x/7) - 1 &lt; (2/3)}}}

Start by adding 1 to both sides of the inequality

{{{(x/7) - 1 + 1 &lt; (2/3) + 1}}}

simplifying gives us 
{{{x/7 &lt; 1+2/3}}}
Change 1+ 2/3 into an improper fraction 3/3 + 2/3 or 5/3 so 
{{{x/7 &lt; 5/3}}}
Now multiply both sides of the inequality by 7
{{{7*(x/7)&lt;7*(5/3)}}}
simplifying gives us 

{{{x&lt;35/3}}} or as a mixed number x&lt; 11 2/3</PRE>