Question 19071
To solve this, you perform the same steps as if the ">" is an equal sign until the very end...
{{{7x+3>9x-5}}}
subtract 7x from each side to get {{{7x-7x+3>9x-7x-5}}}
to get {{{3>2x-5}}}
then add 5 to each side {{{3+5>2x-5+5}}}
to get {{{8>2x}}}
next divide each side by 2 {{{8/2>2x/2}}}
to get {{{8/2>x}}}
and simplify
{{{4>x}}}
and put the variable on the left side
{{{x<4}}}
the reason the direction of the sign changes is that saying "4 is greater than x" is the same as saying "x is less than 4"