How can we solve the inequality 3q + 11 < 8q + 99?

by

To solve the inequality 3q + 11 < 8q + 99, we can follow these steps:

  1. Rearranging the inequality: First, we will move all the terms involving q to one side and the constant terms to the other side. We can do this by subtracting 3q from both sides:
    • 3q + 11 – 3q < 8q + 99 – 3q
    • This simplifies to: 11 < 5q + 99
  2. Isolating the term with q: Next, we will isolate the term with q by subtracting 99 from both sides:
    • 11 – 99 < 5q
    • This simplifies to: -88 < 5q
  3. Dividing by 5: Finally, to solve for q, we will divide both sides by 5:
    • -88 / 5 < q
    • This simplifies to: -17.6 < q

In conclusion, the solution to the inequality is:

q > -17.6

This means that any value of q greater than -17.6 satisfies the inequality.

Leave a Comment