Question

graph the inequality $2u \geq 140$.
\bigcirc i dont know yet
\bigcirc number line with 0 to 80, marked at 70 with open circle
\bigcirc number line with 0 to 80, marked at 70 with closed circle and line to right
\bigcirc number line with 0 to 80, marked at 2 with closed circle
\bigcirc number line with 0 to 80, marked at 2 with closed circle and line to right

Explanation:

Step1: Solve the inequality

To solve \(2u \geq 140\), divide both sides by 2. So, \(\frac{2u}{2} \geq \frac{140}{2}\), which simplifies to \(u \geq 70\).

Step2: Analyze the number line graphs

• For an inequality \(u \geq 70\), the graph should have a closed dot at 70 (since the inequality is "greater than or equal to") and an arrow pointing to the right (towards larger numbers).
• Looking at the options, the second graph (from the top) has a closed dot at 70 and the line extending to the right, which matches the solution \(u \geq 70\).

Answer:

The second graph (the one with a closed dot at 70 and the line going to the right)