Question

solve the linear inequality for b. graph your answer on the number line. then write the solution in inequality notation. round your answers to the nearest hundredth.

52.5 ≤ -15b

show your work here

hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Divide both sides by -15

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{52.5}{-15}\geq\frac{- 15b}{-15}$$

Step2: Calculate the value

$$b\leq - 3.50$$

Answer:

The solution in inequality notation is \(b\leq - 3.50\). On the number - line, there is a closed circle at \(-3.50\) (since the inequality is \(\leq\)) and the line extends to the left.