Question

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Answer 1

Answer:

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Step-by-step explanation:

$\dfrac{ b }{ 3 } +1 > 0$

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$b+3 > 0$

Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.

$b+3-3 > 0-3$

Simplify

$b > -3$

Now we need to graph it:

Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Symbol Meaning

> Greater than

> Greater than or equal to

< Less than

< Less than or equal to

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Also look at the picture