Question

solve the inequality and graph the solution.
10b - 10 < 10
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Add 10 to both sides

To isolate the term with \( b \), we add 10 to both sides of the inequality \( 10b - 10 < 10 \). This gives us \( 10b - 10 + 10 < 10 + 10 \), which simplifies to \( 10b < 20 \).

Step2: Divide both sides by 10

To solve for \( b \), we divide both sides of the inequality \( 10b < 20 \) by 10. So, \( \frac{10b}{10} < \frac{20}{10} \), which simplifies to \( b < 2 \).

Answer:

The solution to the inequality \( 10b - 10 < 10 \) is \( b < 2 \). To graph this, we draw an open circle at \( 2 \) (since the inequality is strict, \( b
eq2 \)) and shade the line to the left of \( 2 \) to represent all values of \( b \) less than \( 2 \).