Question

question
solve the inequality and graph the solution on the line provided.
4 + 5x > 19
answer attempt 1 out of 5
inequality notation:
number line:
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
submit answer

Explanation:

Step1: Subtract 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the inequality \( 4 + 5x > 19 \). This gives us \( 4 + 5x - 4 > 19 - 4 \), which simplifies to \( 5x > 15 \).

Step2: Divide both sides by 5

To solve for \( x \), we divide both sides of the inequality \( 5x > 15 \) by 5. This gives us \( \frac{5x}{5} > \frac{15}{5} \), which simplifies to \( x > 3 \).

Answer:

Inequality Notation: \( x > 3 \)
For the number line: We draw an open circle at 3 (since the inequality is strict, \( x > 3 \) not \( x \geq 3 \)) and shade the region to the right of 3 to represent all values of \( x \) that satisfy the inequality.