Question

1.7 solving inequalities -5y - 6 > 44 graph: interval notation:

Explanation:

Step1: Add 6 to both sides

$-5y-6 + 6>44 + 6$
$-5y>50$

Step2: Divide both sides by - 5 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{-5y}{-5}<\frac{50}{-5}$
$y < - 10$

Answer:

On the number - line, we have an open circle at - 10 (since y is less than - 10, not equal to) and an arrow pointing to the left. In interval notation, the solution is $(-\infty,-10)$