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:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12
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: We place a closed circle at 7 (since the inequality is "greater than or equal to") and shade to the right of 7 to represent all values of \( x \) that satisfy the inequality.