Question 176220
{{{abs(3x + 4) > 11}}} means that {{{3x + 4 > 11}}} or {{{-(3x + 4) > 11}}}


So:  {{{3x + 4 > 11}}} → {{{3x > 11 - 4}}} → {{{x > 7/3}}}


or:  {{{-3x - 4 > 11}}} &#8594; {{{-3x > 11 + 4}}} &#8594; {{{x < -15/3 = -5}}} (Note sense change on the inequality because of multiplying by a {{{-1/3}}}


Interval notation:


({{{-infinity}}},{{{-5}}}) *[TEX \bigcup] ({{{7/3}}},{{{infinity}}})