Question

Solve the following inequality for
-7b + 7 ≤ 8b - 4.

Answer 1

To solve the inequality -7b + 7 ≤ 8b - 4, simplify the inequality by combining like terms, add 4 to both sides of the inequality, divide both sides of the inequality by 15 to solve for b. The solution to the inequality is b ≥ 11/15.

Step-by-step explanation:

To solve the inequality -7b + 7 ≤ 8b - 4, we want to isolate the variable b. First, we can simplify the inequality by combining like terms:

7 ≤ 15b - 4.

Next, we can add 4 to both sides of the inequality:

7 + 4 ≤ 15b - 4 + 4.

Simplifying further:

11 ≤ 15b.

Now, we divide both sides of the inequality by 15 to solve for b:

11/15 ≤ b.

So, the solution to the inequality is b ≥ 11/15.