Question 1174713
your inequality is:


8x + 24 >= 7x - 14 + x


combine like terms to get:


8x + 24 >= 8x - 14


subtract 8x from both sides of the inequality to get:


24 >= -14.


since x dropped out of the inequality, this is true regardless of the value of x.


the solution is the set of all x such that minus infinity < x < plus infinity.


in interval notation, i believe the answer will be x = (-infinity, plus infinity)


on a number line, i believe the answer will be:


<pre>
                  <---------------------------------------->
             minus infinity                            plus infinity
</pre>


here's a reference on interval notation.


<a href = "https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation" target = "_blank">https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation</a>