Question 312490
Two solutions:
{{{(2x-3)>5}}} and {{{-(2x-3)>5}}}
Positive solution:
{{{2x-3>5}}}
{{{2x>8}}}
{{{highlight_green(x>4)}}}
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Negative solution:
{{{-(2x-3)>5}}}
{{{2x-3<-5}}}
{{{2x<-2}}}
{{{highlight_green(x<-1)}}}
The solution set is ({{{-infinity}}},{{{-1}}})U({{{4}}},{{{infinity}}}).
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Verified graphically,
{{{ graph( 300, 300, -4, 6, -10, 10, abs(2x-3), 5) }}}