Question

day 1
graph each inequality on the provided number line.
1 k > 11
8 9 10 11 12
2 12 ≥ f
10 11 12 13 14
3 d < 6
3 4 5 6 7
4 0 ≤ b
-1 0 1 2 3

Explanation:

Step1: Graph $k > 11$

1. Locate 11 on the number line.
2. Use an open circle at 11 (since $k$ cannot equal 11).
3. Draw an arrow pointing right from 11 (to show all values greater than 11).

Step2: Graph $12 \geq f$

1. Locate 12 on the number line.
2. Use a closed circle at 12 (since $f$ can equal 12).
3. Draw an arrow pointing left from 12 (to show all values less than or equal to 12).

Step3: Graph $d < 6$

1. Locate 6 on the number line.
2. Use an open circle at 6 (since $d$ cannot equal 6).
3. Draw an arrow pointing left from 6 (to show all values less than 6).

Step4: Graph $0 \leq b$

1. Locate 0 on the number line.
2. Use a closed circle at 0 (since $b$ can equal 0).
3. Draw an arrow pointing right from 0 (to show all values greater than or equal to 0).

Answer:

1. For $k > 11$: Open circle at 11, arrow right.
2. For $12 \geq f$: Closed circle at 12, arrow left.
3. For $d < 6$: Open circle at 6, arrow left.
4. For $0 \leq b$: Closed circle at 0, arrow right.