Question

solve the inequality and graph the solution on the line provided.
-8 - 4x > -16
answer attempt 1 out of 2
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12

Explanation:

Step1: Add 8 to both sides

To isolate the term with \( x \), we add 8 to both sides of the inequality \( -8 - 4x > -16 \). This gives us \( -8 - 4x + 8 > -16 + 8 \), which simplifies to \( -4x > -8 \).

Step2: Divide by -4 (reverse inequality)

When dividing both sides of an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \( -4x > -8 \) by -4 gives \( x < \frac{-8}{-4} \), which simplifies to \( x < 2 \).

Answer:

Inequality Notation: \( x < 2 \)
For the number line: We draw an open circle at 2 (since \( x \) is not equal to 2) and shade the region to the left of 2 to represent all values of \( x \) less than 2.