Question

question
solve the inequality and graph the solution on the line provided.
3x - 10 > -1
answer attempt 1 out of 5
< > ≤ ≥ or
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 10 to both sides

To isolate the term with \( x \), we add 10 to both sides of the inequality \( 3x - 10 > -1 \). This gives us \( 3x - 10 + 10 > -1 + 10 \), which simplifies to \( 3x > 9 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x > 9 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} > \frac{9}{3} \), 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, \( > \), not \( \geq \)) and shade the region to the right of 3 to represent all values of \( x \) greater than 3.