Math Snap

STEP 1

Assumptions1. The inequality to solve is $5(b-6) \geq10$
. We need to find the value of $b$ that satisfies the inequality3. The inequality is linear, meaning it involves a variable to the first power4. The solution will be a range of values, not a single value

STEP 2

First, we need to simplify the left side of the inequality. We can do this by distributing the5 to both terms inside the parentheses.
$$5(b-6) =5b -30$$So, the inequality becomes$$5b -30 \geq10$$

STEP 3

Next, we need to isolate the variable $b$ on one side of the inequality. We can do this by adding30 to both sides of the inequality.
$$5b -30 +30 \geq10 +30$$This simplifies to$$5b \geq40$$

STEP 4

Finally, to solve for $b$, we need to divide both sides of the inequality by.
$$\frac{b}{} \geq \frac{40}{}$$This simplifies to$$b \geq8$$

Now that we have the solution to the inequality, we can graph it. Since $b$ is greater than or equal to8, we will draw a closed circle at8 (indicating that8 is included in the solution) and draw a line extending to the right (indicating all numbers greater than8).
So, the solution to the inequality $5(b-) \geq10$ is $b \geq8$.