Question

solve the inequality and graph the solution.
10 + 10b ≤ -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.
number line from -5 to 5
submit

Explanation:

Step1: Subtract 10 from both sides

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

Step2: Divide by 10

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

To graph the solution:

• The endpoint is at \( b = -2 \). Since the inequality is "less than or equal to", we use a closed dot at \( -2 \).
• Then, we draw a ray to the left of \( -2 \) (towards negative infinity) to represent all values of \( b \) that are less than or equal to \( -2 \).

Answer:

The solution to the inequality \( 10 + 10b \leq -10 \) is \( b \leq -2 \). For the graph, place a closed dot at \( -2 \) on the number line and draw a ray extending to the left from \( -2 \).