Question 155517
Solve for a:
{{{abs(4a+7) < 13}}} Remove the absolute-value bars and write the two resulting inequalities:
{{{4a+7 < 13}}} and {{{4a+7 > -13}}} Now solve each one of these inequalities.
{{{4a+7 < 13}}} Subtract 7 from both sides.
{{{4a < 6}}} Divide both sides by 4.
{{{highlight(a < 6/4)}}} or {{{highlight(a < 3/2)}}}
-------------
{{{4a+7 > -13}}} Subtract 7 from both sides.
{{{4a > -20}}} Divide both sides by 4.
{{{highlight(a > -5)}}}
Notice that you get two answers when solving inequalities such as this.