Question

solve the inequality and graph the solution on the line provided.
7x + 9 > -33
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Subtract 9 from both sides

$7x + 9 - 9 > -33 - 9$
$7x > -42$

Step2: Divide both sides by 7

$\frac{7x}{7} > \frac{-42}{7}$
$x > -6$

Step3: Graph the solution

On the number line, draw an open circle at $-6$ (since the inequality is strict, not inclusive) and shade all values to the right of $-6$.

Answer:

Inequality Notation:

$x > -6$

Number Line:

Open circle at $-6$, arrow pointing to the right (covering all values greater than $-6$)