Question

solve the inequality and graph the solution on the line provided.
-7 + 3x ≥ 14
answer attempt 1 out of 2
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 7 to both sides

To isolate the term with \( x \), we add 7 to both sides of the inequality \( -7 + 3x \geq 14 \). This gives us \( -7 + 7 + 3x \geq 14 + 7 \), which simplifies to \( 3x \geq 21 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x \geq 21 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} \geq \frac{21}{3} \), which simplifies to \( x \geq 7 \).

Answer:

Inequality Notation: \( x \geq 7 \)

For the number line: Place a closed circle (since the inequality is "greater than or equal to") at 7 and draw a line to the right to represent all numbers greater than or equal to 7.