Question

solve the inequality below, then determine which number line shows the solution graphed correctly. $9x - 18 \leq 54$ number line a -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 number line b -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 a b

Explanation:

Step1: Add 18 to both sides

$$9x-18 + 18\leq54 + 18$$
$$9x\leq72$$

Step2: Divide both sides by 9

$$\frac{9x}{9}\leq\frac{72}{9}$$
$$x\leq8$$

Answer:

Number Line B (since \(x\leq8\) and in Number Line B, the filled - in circle at 8 with the arrow pointing to the left represents all values less than or equal to 8)