Question

graphing inequalities graph the inequality. 3. ( a geq -12 ) 4. ( x leq -7 ) 5. ( w < 5 ) 6. ( d > 13 )

Explanation:

Step1: Graph for $a\geq -12$

1. Locate $-12$ on a number line.
2. Draw a closed (filled) circle at $-12$ (since the inequality includes equality, $\geq$).
3. Shade all numbers to the right of $-12$ (since $a$ can be greater than $-12$).

Step2: Graph for $x\leq -7$

1. Locate $-7$ on a number line.
2. Draw a closed (filled) circle at $-7$ (since the inequality includes equality, $\leq$).
3. Shade all numbers to the left of $-7$ (since $x$ can be less than $-7$).

Step3: Graph for $w<5$

1. Locate $5$ on a number line.
2. Draw an open (empty) circle at $5$ (since the inequality does not include equality, $<$).
3. Shade all numbers to the left of $5$ (since $w$ is less than $5$).

Step4: Graph for $d>13$

1. Locate $13$ on a number line.
2. Draw an open (empty) circle at $13$ (since the inequality does not include equality, $>$).
3. Shade all numbers to the right of $13$ (since $d$ is greater than $13$).

Answer:

1. For $a\geq -12$: Closed circle at $-12$, shade right.
2. For $x\leq -7$: Closed circle at $-7$, shade left.
3. For $w<5$: Open circle at $5$, shade left.
4. For $d>13$: Open circle at $13$, shade right.