Question

1. $-10(x + 6) < -170$

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Explanation:

Step1: Divide both sides by -10 (reverse inequality)

$\frac{-10(x+6)}{-10} > \frac{-170}{-10}$
Simplifies to: $x + 6 > 17$

Step2: Subtract 6 from both sides

$x + 6 - 6 > 17 - 6$
Simplifies to: $x > 11$

Step3: Graph on number line

Draw an open circle at 11, shade all values to the right.

Answer:

$x > 11$
(Graph: Open circle at 11, arrow pointing right on the given number line)