Question 255232
{{{-12 <= 3x-7 < -2}}}
I think the easiest way to solve these is to rewrite it as a compound inequality:
{{{-12 <= 3x-7}}} and {{{3x-7 < -2}}}
Now we solve each of these separately. Adding 7 to each side of both:
{{{-5 <= 3x}}} and {{{3x < 5}}}
Dividing both sides of each by 3 we get:
{{{(-5)/3 <= x}}} and {{{x < 5/3}}}
which is our answer. Or, if we want to write it in the original form:
{{{(-5)/3 <= x < 5/3}}}