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
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( x \), we subtract 8 from both sides of the inequality \( 8 - 4x > -4 \). This gives us \( 8 - 8 - 4x > -4 - 8 \), which simplifies to \( -4x > -12 \).

Step2: Divide by -4 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -4x > -12 \) by -4 gives \( x < 3 \) (since dividing by a negative flips the \( > \) to \( < \)).

Answer:

Inequality Notation: \( x < 3 \)
(For the number line: Plot an open circle at 3 and draw an arrow to the left, indicating all numbers less than 3.)