Question

solve the inequality and graph the solution on the line provided.
-14 - 4x > 2
answer
attempt 1 out of 2
< > ≤ ≥ 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: Add 14 to both sides

$-14 - 4x+14>2 + 14$
$-4x>16$

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

$\frac{-4x}{-4}<\frac{16}{-4}$ (When dividing by a negative number, the inequality sign flips)
$x < - 4$

Answer:

Inequality Notation: $x < - 4$
Number Line: Draw an open - circle at - 4 (since $x$ is less than but not equal to - 4) and shade the line to the left of - 4.