Question

solve the inequality and graph the solution on the line provided.
$7x + 19 \geq 12$
answer attempt 1 out of 10
$<$$>$$\leq$$\geq$ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 19 from both sides

To isolate the term with \( x \), we subtract 19 from both sides of the inequality \( 7x + 19 \geq 12 \). This gives us \( 7x + 19 - 19 \geq 12 - 19 \), which simplifies to \( 7x \geq -7 \).

Step2: Divide both sides by 7

Next, we divide both sides of the inequality \( 7x \geq -7 \) by 7 to solve for \( x \). So, \( \frac{7x}{7} \geq \frac{-7}{7} \), which simplifies to \( x \geq -1 \).

Answer:

Inequality Notation: \( x \geq -1 \)

For the number line: Place a closed circle at -1 (since the inequality is "greater than or equal to") and draw an arrow to the right to represent all numbers greater than or equal to -1.