Math

QuestionSolve the inequality -5b > 0 and graph the solution.

Studdy Solution

STEP 1

Assumptions1. The inequality to solve is 5b>0-5b >0.

STEP 2

We need to isolate bb on one side of the inequality to find the solution. We can do this by dividing both sides of the inequality by 5-5.
b=05b = \frac{0}{-5}

STEP 3

Now, divide0 by -5 to find the value of bb.
b=0b =0

STEP 4

However, when we divide or multiply an inequality by a negative number, we need to reverse the direction of the inequality. So, the solution to the inequality isb<0b <0

STEP 5

Now we need to graph the solution. On a number line, we represent the solution b<0b <0 by drawing an arrow pointing to the left from0, indicating that bb is less than0.

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