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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. 8 - 4…

Question

solve the inequality and graph the solution on the line provided. 8 - 4x > - 4 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 submit answer

Explanation:

Step1: Subtract 8 from both sides

$8 - 4x-8>-4 - 8$
$-4x>-12$

Step2: Divide both sides by - 4 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-4x}{-4}<\frac{-12}{-4}$
$x < 3$

Answer:

Inequality Notation: $x < 3$
On the number - line, you would draw an open circle at 3 (because 3 is not included in the solution set) and draw an arrow to the left to represent all the numbers less than 3.