Question

solve the inequality and graph the solution on the line provided.
5x - 15 < 10
answer attempt 1 out of 5
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line
submit answer

Explanation:

Step1: Add 15 to both sides

To isolate the term with \( x \), we add 15 to both sides of the inequality \( 5x - 15 < 10 \). This gives \( 5x - 15 + 15 < 10 + 15 \), which simplifies to \( 5x < 25 \).

Step2: Divide by 5

Next, we divide both sides of the inequality \( 5x < 25 \) by 5. So, \( \frac{5x}{5} < \frac{25}{5} \), which simplifies to \( x < 5 \).

For graphing on the number line: We draw an open circle at 5 (since the inequality is \( < \), not \( \leq \)) and shade the region to the left of 5 to represent all values of \( x \) that are less than 5.

Answer:

Inequality Notation: \( x < 5 \)
Number Line: Open circle at 5, shade left of 5.