Question 1151646

{{{x+2>7}}} or {{{-4x+1>=9}}}

{{{x+2>7}}}
{{{x>7-2}}}
{{{x>5}}}

{{{-4x+1>=9}}}
{{{-9+1>=4x}}}
{{{4x<=-8}}}
{{{x<=-2}}}

solutions:

{{{x<=-2}}} or {{{x>5}}}

Interval notation:

({{{-infinity}}}, {{{-2}}}]  or ({{{5}}},{{{ infinity}}})


as you can see, {{{x <=-2}}} indicates all the numbers to the left of {{{-2 }}}(including {{{-2}}}), and {{{x > 5}}} indicates all the numbers to the right of {{{5}}}. The {{{intersection}}} of these graphs contains {{{no}}}{{{ numbers}}}. That is, the solution set is the {{{empty}}}{{{ set}}}. &#8709;

graph:

<a href="https://www.imageupload.net/image/FNfQq"><img src="https://www.imageupload.net/upload-image/2020/01/26/MSP5.th.gif" alt="MSP5.gif" border="0" /></a>