Question

kuta software - infinite algebra 1
graphing inequalities
name christine michel
date 1-7-26 period 1
draw a graph for each inequality.

1. $n \leq -5$
2. $n \leq 5$
3. $x < 1$
4. $r > 2$
5. $n > 5$
6. $r \leq -2$
7. $k \leq -2$
8. $m < -5$
9. $x \geq 2$
10. $-5 \geq v$
11. $-2 \geq v$
12. $x < 5$

Explanation:

Step1: Identify inequality type

For each inequality, first determine if it is inclusive ($\leq, \geq$) which uses a closed dot, or exclusive ($<, >$) which uses an open dot.

Step2: Locate the critical value

Find the value on the number line that is the boundary of the inequality.

Step3: Shade the correct direction

Shade to the left for $<, \leq$ (values less than the boundary) and to the right for $>, \geq$ (values greater than the boundary).

---

3) $x < 1$

Step1: Exclusive inequality, open dot

Open dot at $x=1$

Step2: Shade left of 1

Shade all values less than 1

Answer:

Open dot at 1, shade left to $-\infty$

---

4) $r > 2$

Step1: Exclusive inequality, open dot

Open dot at $r=2$

Step2: Shade right of 2

Shade all values greater than 2