Question

solve the inequality and graph the solution on the line provided. -4x - 46 < -38 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Add 46 to both sides

$-4x-46 + 46< - 38+46$
$-4x<8$

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

Since dividing by a negative number in an inequality flips the sign, $\frac{-4x}{-4}>\frac{8}{-4}$
$x > - 2$

Answer:

; $x>-2$

On the number - line, there is an open circle at - 2 and the line is shaded to the right of - 2.