Question

solve the linear inequality for m. graph your answer on the number line. then write the solution in inequality notation. round your answers to the nearest hundredth.
0.2 > \frac{m}{8.75}
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Multiply both sides by 8.75

$$0.2\times8.75>\frac{m}{8.75}\times8.75$$

Step2: Simplify the equation

$$1.75 > m$$

Answer:

The solution in inequality notation is \(m < 1.75\). On the number - line, we have an open circle at \(1.75\) (since the inequality is strict, \(m
eq1.75\)) and the line extends to the left (towards smaller values of \(m\)).