Question

solve the inequality and graph the solution.
66 > \frac{b}{4}+67
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable term

Subtract 67 from both sides of the inequality $66>\frac{b}{4}+67$.
$66 - 67>\frac{b}{4}+67 - 67$
$-1>\frac{b}{4}$

Step2: Solve for b

Multiply both sides of the inequality by 4. Since we are multiplying by a positive number, the direction of the inequality sign remains the same.
$4\times(-1)>\frac{b}{4}\times4$
$-4 > b$ or $b < - 4$

Answer:

The solution of the inequality is $b < - 4$. On the number - line, we use an open circle at - 4 (because the inequality is strict, $b$ cannot equal - 4) and draw a ray to the left of - 4.