Question

1. solve the inequality $\frac{y}{-2}-4>3$.

(1) how can you isolate $y$?
$\frac{y}{-2}-4>3$
$+4 +4$
$\frac{y}{-2}>7$
add 4 on both sides.
? on both sides.? the symbol.
options:
multiply by $-2$
multiply by 7
divide by $-2$
divide by 7

Explanation:

Step1: Eliminate constant term

Add 4 to both sides:
$\frac{y}{-2} - 4 + 4 > 3 + 4$
Simplify to get:
$\frac{y}{-2} > 7$

Step2: Isolate y, adjust inequality

Multiply both sides by -2, reverse inequality sign (since multiplying by a negative number flips the inequality symbol):
$\frac{y}{-2} \times (-2) < 7 \times (-2)$
Simplify to isolate y:
$y < -14$

Answer:

First dropdown: Multiply by $-2$
Second dropdown: Reverse
Final solution to the inequality: $y < -14$