Question

solve the inequality and graph the solution. 6 < 10 - 2b 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.

Explanation:

Step1: Subtract 10 from both sides

$6 - 10<10 - 2b-10$
$-4 < - 2b$

Step2: Divide both sides by -2 and reverse the inequality sign

$\frac{-4}{-2}>\frac{-2b}{-2}$
$2 > b$ or $b < 2$

Answer:

The solution of the inequality is $b < 2$. On the number - line, we plot an open - circle at $b = 2$ (since the inequality is strict, $b$ cannot equal 2) and draw a ray to the left of 2.