Question

Solve each inequality. Graph the solutions. $x + 7 \leqslant 9$

Answer 1

$z\text{ + 7 }\leq9$

this is equivalent to:

$z\text{ + 7 - 7 }\leq9\text{ -7}$

this is equivalent to

$z\text{ + 0 }\leq9\text{ -7 }$

this is equivalent to

$z\text{ }\leq2$

so the interval that represents the last inequality is :

$(-\infty,\text{ 2}\rbrack$

graphically this interval is represented by: