Question

solve the inequality and graph the solution.
1 > (w + 6)/14
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
number line with ticks at -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10
submit

Explanation:

Step1: Multiply both sides by 14

$1 \times 14 > \frac{w + 6}{14} \times 14 \implies 14 > w + 6$

Step2: Subtract 6 from both sides

$14 - 6 > w + 6 - 6 \implies 8 > w$

Step3: Graph the solution

Endpoint at 8 (open circle, since inequality is strict), arrow pointing left (all values less than 8).

Answer:

$w < 8$
(Graph: Open circle at 8, arrow left)