Question

solve 3x - 9 ≤ -21 or 2x - 2 > -4. graph the solution.
the solution is □ or □.

Explanation:

Step1: Solve the first inequality

Add 9 to both sides of $3x - 9\leq - 21$:
$3x-9 + 9\leq - 21+9$, which simplifies to $3x\leq - 12$. Then divide both sides by 3: $x\leq - 4$.

Step2: Solve the second inequality

Add 2 to both sides of $2x - 2> - 4$:
$2x-2 + 2> - 4+2$, which simplifies to $2x> - 2$. Then divide both sides by 2: $x> - 1$.

Answer:

$x\leq - 4$ or $x> - 1$
The graph would have a closed - circle at $x = - 4$ and an arrow pointing to the left for $x\leq - 4$, and an open - circle at $x=-1$ and an arrow pointing to the right for $x > - 1$.