Question

solve the inequality and graph the solution on the line provided.
4x - 8 > 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: Add 8 to both sides

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

Step2: Divide by 4

Next, we divide both sides of the inequality \( 4x > 12 \) by 4 to solve for \( x \). So, \( \frac{4x}{4} > \frac{12}{4} \), which simplifies to \( x > 3 \).

Answer:

Inequality Notation: \( x > 3 \)
For the number line: We would place an open circle at 3 (since the inequality is \( > \), not \( \geq \)) and draw an arrow to the right to represent all values of \( x \) greater than 3.