Question

question
solve the inequality and graph the solution on the line provided.
-14 + 5x > 6
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; touch and drag to plot line.
submit answer

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( x \), we add 14 to both sides of the inequality \( -14 + 5x > 6 \). This gives us \( -14 + 14 + 5x > 6 + 14 \), which simplifies to \( 5x > 20 \).

Step2: Divide by 5

Next, we divide both sides of the inequality \( 5x > 20 \) by 5 to solve for \( x \). So, \( \frac{5x}{5} > \frac{20}{5} \), which simplifies to \( x > 4 \).

Answer:

Inequality Notation: \( x > 4 \)

For the number line: Place an open circle at 4 (since the inequality is \( > \), not \( \geq \)) and draw an arrow to the right to represent all numbers greater than 4.