Question

solve the linear inequality for y. graph your answer in the number line. then write the solution in inequality notation.
-4(y - 3) > 12
show your work here
hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Distribute -4

$-4y + 12>12$

Step2: Subtract 12 from both sides

$-4y+12 - 12>12 - 12$
$-4y>0$

Step3: Divide both sides by -4 and reverse the inequality sign

$\frac{-4y}{-4}<\frac{0}{-4}$
$y < 0$

Answer:

The solution in inequality notation is $y < 0$. On the number - line, there is an open circle at 0 and the line extends to the left.