Question

find the value of ( m ) when ( 5m = 45 ).
( 5m = 45 )
( m = 9 )
describe the solution of ( 5m geq 45 ).
if ( m ) is equal to 9, ( 5m ) will be equal to 45.
if ( m ) is greater than 9, ( 5m ) will be greater than 45.
graph an inequality to represent all possible values of ( m ).

Explanation:

Step1: Solve the inequality \(5m\geq45\)

Divide both sides of the inequality by \(5\).
$$\frac{5m}{5}\geq\frac{45}{5}$$

Step2: Simplify the expression

Simplify to get \(m\geq9\).

Step3: Graph the inequality on the number - line

Since \(m\geq9\), we use a closed circle at \(9\) (because \(m = 9\) is included in the solution set) and draw an arrow to the right (because \(m\) can be greater than \(9\) as well).

Answer:

We use the closed - circle (the fourth icon in the given set of icons) at \(9\) and draw an arrow to the right on the number - line.