Question

solve the inequality and graph the solution on the line provided. 41 - 6x > 17 answer < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 touch and drag to plot line. submit answer

Explanation:

Step1: Subtract 41 from both sides

$41 - 6x-41>17 - 41$
$-6x>-24$

Step2: Divide both sides by - 6 and reverse the inequality sign

Since dividing by a negative number in an inequality reverses the sign, $\frac{-6x}{-6}<\frac{-24}{-6}$
$x < 4$

Answer:

Inequality Notation: $x < 4$
Number Line: On the number - line, there is an open circle at 4 (because 4 is not included in the solution) and the line extends to the left of 4.