Question

directions: graph each inequality on the number line. 1. x≥ - 5 2. n < 17 3. k≤ - 1 4. a > 8 5. - 3 < v 6. 12≥c

Explanation:

Step1: Identify inequality type

For $x\geq - 5$, we use a closed - circle at $-5$ (because of $\geq$) and draw an arrow to the right.

Step2: Second inequality

For $n < 17$, we use an open - circle at $17$ (because of $<$) and draw an arrow to the left.

Step3: Third inequality

For $k\leq - 1$, we use a closed - circle at $-1$ (because of $\leq$) and draw an arrow to the left.

Step4: Fourth inequality

For $a>8$, we use an open - circle at $8$ (because of $>$) and draw an arrow to the right.

Step5: Fifth inequality

For $-3 < v$, which is equivalent to $v>-3$, we use an open - circle at $-3$ and draw an arrow to the right.

Step6: Sixth inequality

For $12\geq c$, which is equivalent to $c\leq 12$, we use a closed - circle at $12$ and draw an arrow to the left.

Answer:

1. Draw a closed - circle at $-5$ on the number line and an arrow to the right.
2. Draw an open - circle at $17$ on the number line and an arrow to the left.
3. Draw a closed - circle at $-1$ on the number line and an arrow to the left.
4. Draw an open - circle at $8$ on the number line and an arrow to the right.
5. Draw an open - circle at $-3$ on the number line and an arrow to the right.
6. Draw a closed - circle at $12$ on the number line and an arrow to the left.