Question

solve for x, then choose the correct graph. -9x + 10 > -8 (a) graph with open - circle at 2 and arrow to the left (b) graph with open - circle at 2 and arrow to the right

Explanation:

Step1: Subtract 10 from both sides

$-9x+10 - 10>-8 - 10$
$-9x>-18$

Step2: Divide both sides by -9 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-9x}{-9}<\frac{-18}{-9}$
$x < 2$

Answer:

B. A number - line with an open - circle at 2 and an arrow pointing to the left.