Question

solve the inequality ( 8x - 4y < 12 ) in terms of ( y ). the inequality is ( y square square x - square ). (fill each blank with an integer or inequality symbol.)

Explanation:

Step1: Isolate the y-term

$8x - 4y < 12 \implies -4y < 12 - 8x$

Step2: Divide by -4, reverse inequality

$\frac{-4y}{-4} > \frac{12 - 8x}{-4}$

Step3: Simplify both sides

$y > -3 + 2x \implies y > 2x - 3$

Answer:

$y > 2x - 3$
(Blanks filled as: $>$, $2$, $3$)