Question

question
solve the inequality and graph the solution on the line provided.
2x - 20 < -14
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: Add 20 to both sides

To isolate the term with \( x \), we add 20 to both sides of the inequality \( 2x - 20 < -14 \). This gives us \( 2x - 20 + 20 < -14 + 20 \), which simplifies to \( 2x < 6 \).

Step2: Divide by 2

Next, we divide both sides of the inequality \( 2x < 6 \) by 2 to solve for \( x \). So, \( \frac{2x}{2} < \frac{6}{2} \), 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, \( x \) is not equal to 3) and shade the region to the left of 3 to represent all values of \( x \) less than 3.