Question 953228
{{{ 8 < 9x + 7 < 3 }}}
I can state this as 2 inequalities
(1) {{{ 8 < 9x + 7 }}}
(2) {{{ 9x + 7 < 3 }}}
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(1) {{{ 8 < 9x + 7 }}}
Subtract {{{ 7 }}} from both sides
(1) {{{ 1 < 9x }}}
Divide both sides by {{{ 9 }}}
(1) {{{ x > 1/9 }}}
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(2) {{{ 9x + 7 < 3 }}}
Subtract {{{ 7 }}} from both sides
(2) {{{ 9x < -4 }}}
(2) {{{ x < -4/9 }}}
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There is no solution for {{{ x }}}
because both inequalities cannot 
be true at the same time
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If {{{ x = 2/9 }}}, then
{{{ x > 1/9 }}} is satisfied
{{{ 8 < 9*(2/9) + 7 < 3 }}}
{{{ 8 < 9 < 3 }}} is not true
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If {{{ x = -5/9 }}}
{{{ x < -4/9 }}} is satisfied
{{{ 8 < 9*(-5/9) + 7 < 3 }}}
{{{ 8 < 2 < 3 }}} is not true