Question 687048
you are given an inequality that is solved just as equality, only difference is a number of solutions, equality will have only one solution because we have first degree function, and inequality many solutions

if you solve it as an equality, you will have

{{{2x = -5 }}}...=>...{{{x = -5/2 }}}=>...{{{x = -2.5 }}}...one solution (it's vertical line)

{{{drawing(600,600,   -6, 6, -6, 6,  blue(line(-2.5,6,-2.5,-6)), grid(0),
graph( 600, 600, -6, 6, -6, 6)) }}}

if you solve it as an inequality, you will have

{{{2x > -5 }}}....=>...{{{x > -5/2 }}}=>...{{{x > -2.5 }}}....solutions: all {{{x}}} greater than {{{-2.5}}}


{{{ graph( 600,600,   -6, 6, -6, 6,x > -2.5) }}}

solution set:


({{{-2.5}}},{{{infinity}}})