Question

solve and graph the following inequality: $1 \leq 7x + 9$
inequality:

graph:
number line options

Explanation:

Step1: Subtract 9 from both sides

$1 - 9 \leq 7x + 9 - 9$
$-8 \leq 7x$

Step2: Divide both sides by 7

$\frac{-8}{7} \leq x$
or $x \geq -\frac{8}{7}$

Answer:

Inequality solution: $\boldsymbol{x \geq -\frac{8}{7}}$
Graph: Use a closed (filled) dot at $-\frac{8}{7}$ (which is approximately -1.14) and draw an arrow pointing to the right (to represent all values greater than or equal to $-\frac{8}{7}$), corresponding to the bottom-right option in the graph tools.