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solve the linear inequality for b. graph your answer on the number line…

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.
-20.25 < 13.5b
show your work here
hint: to add infinity (∞), type \infinity\

Explanation:

Step1: Divide both sides by 13.5

$$\frac{-20.25}{13.5}<\frac{13.5b}{13.5}$$

Step2: Simplify the expression

$$- 1.5 < b$$

Answer:

The solution in inequality notation is \(b > - 1.5\). On the number - line, there is an open circle at \(-1.5\) and the line extends to the right towards positive infinity.