Weston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?

Question

(1 point)
Responses

x+0.5≥0.5
x plus 0.5 greater-than-or-equal-to 0.5

x−0.5≤0.5
x minus 0.5 less-than-or-equal-to 0.5

x−1>0
x minus 1 greater-than 0

x+5≥6

Answer 1

To determine which inequality Weston solved based on the graph on the number line, we can analyze the inequalities one by one.

1. \( x + 0.5 \geq 0.5 \)

   • Solving gives \( x \geq 0 \). This would have a closed circle at 0 and shade to the right.

2. \( x - 0.5 \leq 0.5 \)

   • Solving gives \( x \leq 1 \). This would have a closed circle at 1 and shade to the left.

3. \( x - 1 > 0 \)

   • Solving gives \( x > 1 \). This would have an open circle at 1 and shade to the right.

4. \( x + 5 \geq 6 \)

   • Solving gives \( x \geq 1 \). This would have a closed circle at 1 and shade to the right.

To identify the correct inequality, you would need to refer to the graph Weston created. Based on the types of circles (closed vs. open) and the direction in which the shading extends, you can match it to the solutions derived from each inequality.

If the graph shows:

• A closed circle at 0 and shading to the right, the inequality is \( x + 0.5 \geq 0.5 \).
• A closed circle at 1 and shading to the left, the inequality is \( x - 0.5 \leq 0.5 \).
• An open circle at 1 and shading to the right, the inequality is \( x - 1 > 0 \).
• A closed circle at 1 and shading to the right, the inequality is \( x + 5 \geq 6 \).

If you provide details about the graph (like where the circles are and which direction they shade), I can help you identify the correct inequality.