Question

solve x - 9 ≤ -14 or 3x + 8 ≥ 5. graph the solution.
the solution is or .

Explanation:

Step1: Solve the first inequality

Add 9 to both sides of $x - 9\leq - 14$.
$x-9 + 9\leq - 14+9$
$x\leq - 5$

Step2: Solve the second inequality

Subtract 8 from both sides of $3x + 8\geq5$.
$3x+8 - 8\geq5 - 8$
$3x\geq - 3$
Then divide both sides by 3: $x\geq - 1$

Answer:

$x\leq - 5$ or $x\geq - 1$
The graph will have a closed - circle at $x=-5$ and an arrow pointing to the left for $x\leq - 5$, and a closed - circle at $x = - 1$ and an arrow pointing to the right for $x\geq - 1$.