Question

draw a graph for each inequality.

1. -3 < x
2. v < 0
3. 0 ≥ x
4. 5 > x
5. -5 ≤ v
6. a ≥ 6

Explanation:

Step1: Identify the inequality type

For strict inequalities ($<$ or $>$), use an open - circle on the number line. For non - strict inequalities ($\geq$ or $\leq$), use a closed - circle.

Step2: Graph $-3 < x$

Draw an open - circle at $x=-3$ and shade to the right of $-3$ on the number line.

Step3: Graph $v < 0$

Draw an open - circle at $v = 0$ and shade to the left of $0$ on the number line.

Step4: Graph $0\geq x$

Draw a closed - circle at $x = 0$ and shade to the left of $0$ on the number line.

Step5: Graph $5>x$

Draw an open - circle at $x = 5$ and shade to the left of $5$ on the number line.

Step6: Graph $-5\leq v$

Draw a closed - circle at $v=-5$ and shade to the right of $-5$ on the number line.

Step7: Graph $a\geq6$

Draw a closed - circle at $a = 6$ and shade to the right of $6$ on the number line.

Answer:

For $-3 < x$: Open - circle at $-3$, shade right.
For $v < 0$: Open - circle at $0$, shade left.
For $0\geq x$: Closed - circle at $0$, shade left.
For $5>x$: Open - circle at $5$, shade left.
For $-5\leq v$: Closed - circle at $-5$, shade right.
For $a\geq6$: Closed - circle at $6$, shade right.