Question

solve the inequality and graph the solution. -0.4b + 2.4 < 5.6

Explanation:

Step1: Subtract 2.4 from both sides

$-0.4b+2.4 - 2.4<5.6 - 2.4$
$-0.4b<3.2$

Step2: Divide both sides by - 0.4 and reverse the inequality sign

$\frac{-0.4b}{-0.4}>\frac{3.2}{-0.4}$ (When dividing an inequality by a negative number, the inequality sign flips)
$b > - 8$

The solution of the inequality $b>-8$ is represented on a number - line with an open circle at - 8 (because - 8 is not included in the solution) and the line extending to the right.

Answer:

The first option (the one with an open circle at - 8 and the line extending to the right)