Question

find the value of y when 6y = 60.
6y = 60
y = 10
describe the solution of 6y < 60.
if y is less than 10, 6y will be less than 60.
graph an inequality to represent all possible values of y.

Explanation:

Step1: Solve the equation \(6y = 60\)

Divide both sides of the equation by \(6\).
\(y=\frac{60}{6}\)

Step2: Analyze the inequality \(6y<60\)

Divide both sides of the inequality by \(6\). We get \(y < 10\).

Step3: Graph the inequality \(y < 10\)

On a number - line, we use an open circle at \(y = 10\) (because \(y = 10\) is not included in the solution set \(y<10\)) and draw an arrow to the left (since \(y\) takes values less than \(10\)).

Answer:

The value of \(y\) in \(6y = 60\) is \(y = 10\). The solution of \(6y<60\) is \(y<10\). The graph of \(y < 10\) has an open circle at \(10\) and an arrow pointing to the left on the number - line.